Search: id:A002317
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%I A002317 M1341 N0514
%S A002317 2,5,7,26,265,1351,5042,13775,18817,70226,716035,3650401,13623482,
%T A002317 37220045,50843527,189750626,1934726305,9863382151,36810643322,
%U A002317 100568547815,137379191137,512706121226,5227629760075,26650854921601
%V A002317 2,5,7,-26,-265,-1351,-5042,-13775,-18817,70226,716035,3650401,13623482,
               37220045,
%W A002317 50843527,-189750626,-1934726305,-9863382151,-36810643322,-100568547815,
               -137379191137,
%X A002317 512706121226,5227629760075,26650854921601
%N A002317 Related to Genocchi numbers.
%C A002317 Denoted by beta'_n by Lehmer.
%D A002317 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002317 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002317 D. H. Lehmer, Lacunary recurrence formulas for the numbers of Bernoulli 
               and Euler, Annals Math., 36 (1935), 637-649.
%H A002317 <a href="Sindx_Tu.html#2wis">Index entries for two-way infinite sequences</
               a>
%F A002317 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).
%o A002317 (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 */
%Y A002317 a(n)=(-1)^n*A002316(-1-n).
%Y A002317 Sequence in context: A041245 A042159 A071898 this_sequence A137098 A082013 
               A118786
%Y A002317 Adjacent sequences: A002314 A002315 A002316 this_sequence A002318 A002319 
               A002320
%K A002317 sign
%O A002317 0,1
%A A002317 N. J. A. Sloane (njas(AT)research.att.com).

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