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A002317
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Related to Genocchi numbers.
(Formerly M1341 N0514)
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1
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2, 5, 7, -26, -265, -1351, -5042, -13775, -18817, 70226, 716035, 3650401, 13623482, 37220045, 50843527, -189750626, -1934726305, -9863382151, -36810643322, -100568547815, -137379191137, 512706121226, 5227629760075, 26650854921601
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Denoted by beta'_n by Lehmer.
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REFERENCES
| D. H. Lehmer, Lacunary recurrence formulas for the numbers of Bernoulli and Euler, Annals Math., 36 (1935), 637-649.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Index entries for two-way infinite sequences
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FORMULA
| G.f.: (2-7x-x^2-x^3)/(1-6x+11x^2+6x^3+x^4). a(n)=-2702*a(n-6)-a(n-12).
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PROG
| (PARI) {a(n)=if(n>=0, polcoeff( (2-7*x-x^2-x^3)/(1-6*x+11*x^2+6*x^3+x^4) +x*O(x^n), n), n=-1-n; (-1)^n*polcoeff( (1-x+7*x^2+2*x^3)/(1-6*x+11*x^2+6*x^3+x^4) +x*O(x^n), n) )} /* Michael Somos Mar 27 2005 */
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CROSSREFS
| a(n)=(-1)^n*A002316(-1-n).
Sequence in context: A041245 A042159 A071898 * A137098 A082013 A171831
Adjacent sequences: A002314 A002315 A002316 * A002318 A002319 A002320
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KEYWORD
| sign
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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