id:A027650 - OEIS Search Results

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Poly-Bernoulli numbers B_n^(k) with k=-3.

+0
4

1, 8, 46, 230, 1066, 4718, 20266, 85310, 354106, 1455278, 5938186, 24104990, 97478746, 393095438, 1581931306, 6356390270, 25511588986, 102304505198, 409992599626, 1642294397150, 6576150108826 (list; graph; listen)

	OFFSET	`0,2`
	REFERENCES	`M. Kaneko, Poly-Bernoulli numbers, J. Theorie des Nombres Bordeaux 9 (1997), 221-228.`
	LINKS	`Index entries for sequences related to Bernoulli numbers.` `M. Kaneko, Poly-Bernoulli numbers`
	FORMULA	`a(n) = 64^n-63^n+2^n. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Nov 14 2003` `G.f.: (1-x)/((1-2x)(1-3x)(1-4*x)).`
	MAPLE	`(-1)^nsum( (-1)^'m''m'!*stirling2(n, 'm')/('m'+1)^k, 'm'=0..n);`
	CROSSREFS	`Cf. A027649, A027651.` `Cf. A016269.` `Row 3 of array A099594.` `Sequence in context: A034469 A134114 A071586 this_sequence A026843 A026874 A026867` `Adjacent sequences: A027647 A027648 A027649 this_sequence A027651 A027652 A027653`
	KEYWORD	`nonn`
	AUTHOR	`njas`

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.

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