This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A002317 Related to Genocchi numbers. (Formerly M1341 N0514) 1
 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; text; internal format)
 OFFSET 0,1 COMMENTS Denoted by beta'_n by Lehmer. 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). LINKS 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). MATHEMATICA a[0] = 2; a[1] = 5; a[2] = 7; a[3] = -26; a[n_] := a[n] = -a[n-4] - 6*a[n-3] - 11*a[n-2] + 6*a[n-1]; Table[a[n], {n, 0, 23}] (* Jean-François Alcover, May 23 2013 *) 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 */ 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 KEYWORD sign,changed AUTHOR STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified May 25 09:45 EDT 2013. Contains 225646 sequences.