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 A029745 Expansion of (1+2x+6x^2+x^3)/(1-2x^2). 1
 1, 2, 8, 5, 16, 10, 32, 20, 64, 40, 128, 80, 256, 160, 512, 320, 1024, 640, 2048, 1280, 4096, 2560, 8192, 5120, 16384, 10240, 32768, 20480, 65536, 40960, 131072, 81920, 262144, 163840, 524288, 327680, 1048576, 655360, 2097152, 1310720, 4194304 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Note that 4 is the only power of 2 not here. All terms are either 2^k or 5*2^k. Note that 4 is the only power of 2 not here. All terms are either 2^k or 5*2^k. LINKS Index entries for linear recurrences with constant coefficients, signature (0,2) FORMULA G.f.: (1+2x+6x^2+x^3)/(1-2x^2). MATHEMATICA LinearRecurrence[{0, 2}, {1, 2, 8, 5}, 50] (* or *) With[{nn=20}, Join[{1, 2}, Riffle[ 8*2^Range[0, nn], 5 2^Range[0, nn]]]] (* Harvey P. Dale, Sep 28 2016 *) PROG (PARI) a(n)=if(n<2, 1+max(-1, n), 2^(n\2)*if(n%2, 5/2, 4)) CROSSREFS Cf. A094958 (numbers of the form 2^n or 5*2^n) Sequence in context: A182528 A185583 A155901 * A183232 A096417 A274416 Adjacent sequences:  A029742 A029743 A029744 * A029746 A029747 A029748 KEYWORD nonn,easy AUTHOR EXTENSIONS Edited by T. D. Noe, Nov 12 2010 STATUS approved

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The text passage is an entry from the Online Encyclopedia of Integer Sequences (OEIS) describing a specific integer sequence, its properties, and related information.
no_question

the passage does not contain any mathematical questions or problems that require solving. it is purely descriptive and provides information about a particular integer sequence, including its generating function, a mathematica code snippet for generating the sequence, and a pari code snippet.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
This site is supported by donations to The OEIS Foundation.

 Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS". Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A029745 Expansion of (1+2x+6x^2+x^3)/(1-2x^2). 1
 1, 2, 8, 5, 16, 10, 32, 20, 64, 40, 128, 80, 256, 160, 512, 320, 1024, 640, 2048, 1280, 4096, 2560, 8192, 5120, 16384, 10240, 32768, 20480, 65536, 40960, 131072, 81920, 262144, 163840, 524288, 327680, 1048576, 655360, 2097152, 1310720, 4194304 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Note that 4 is the only power of 2 not here. All terms are either 2^k or 5*2^k. Note that 4 is the only power of 2 not here. All terms are either 2^k or 5*2^k. LINKS Index entries for linear recurrences with constant coefficients, signature (0,2) FORMULA G.f.: (1+2x+6x^2+x^3)/(1-2x^2). MATHEMATICA LinearRecurrence[{0, 2}, {1, 2, 8, 5}, 50] (* or *) With[{nn=20}, Join[{1, 2}, Riffle[ 8*2^Range[0, nn], 5 2^Range[0, nn]]]] (* Harvey P. Dale, Sep 28 2016 *) PROG (PARI) a(n)=if(n<2, 1+max(-1, n), 2^(n\2)*if(n%2, 5/2, 4)) CROSSREFS Cf. A094958 (numbers of the form 2^n or 5*2^n) Sequence in context: A182528 A185583 A155901 * A183232 A096417 A274416 Adjacent sequences:  A029742 A029743 A029744 * A029746 A029747 A029748 KEYWORD nonn,easy AUTHOR EXTENSIONS Edited by T. D. Noe, Nov 12 2010 STATUS approved

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The text passage is an entry from the Online Encyclopedia of Integer Sequences (OEIS) describing a specific integer sequence, its properties, and related information.

TYPE: NO_QUESTION

The passage does not contain any mathematical questions or problems that require solving. It is purely descriptive and provides information about a particular integer sequence, including its generating function, a Mathematica code snippet for generating the sequence, and a PARI code snippet.