id:A050946 - OEIS Search Results

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"Stirling-Bernoulli transform" of Fibonacci numbers.

+0
5

0, 1, 1, 7, 13, 151, 421, 6847, 25453, 532231, 2473141, 63206287, 352444093, 10645162711, 69251478661, 2413453999327, 17943523153933, 708721089607591, 5927841361456981, 261679010699505967, 2431910546406522973, 118654880542567722871 (list; graph; listen)

	OFFSET	`0,4`
	FORMULA	`A100872(n)=a(2*n) and A100868(n)=a(2n-1).` `E.g.f.: e^x(1-e^x)/(1-3e^x+e^(2x)); a(n)=sum{k=0..n, (-1)^(n-k)S2(n, k)Fibonacci(k)}. - Paul Barry (pbarry(AT)wit.ie), Apr 20 2005`
	CROSSREFS	`Cf. A051782.` `Sequence in context: A035030 A046519 A128351 this_sequence A084963 A139188 A064119` `Adjacent sequences: A050943 A050944 A050945 this_sequence A050947 A050948 A050949`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Jan 02 2000`

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Last modified December 4 23:11 EST 2009. Contains 170347 sequences.

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