A154623 - OEIS

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A154623

Sequence with g.f. 1+(x/(1-5x))c(x/(1-5x)), c(x) the g.f. of A000108.

1, 1, 6, 37, 235, 1539, 10392, 72267, 516474, 3783115, 28317562, 215969271, 1673702191, 13148444197, 104494340880, 838670818365, 6788255966595, 55346471893395, 454123503938490, 3746885525588175, 31066887028255065 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`Hankel transform is F(4n+1) (A033889). a(n+1) is the 5th binomial transform of A000108.`
	FORMULA	`G.f.: (1/2)(3-sqrt((1-9x)/(1-5x));` `a(n)=(4/5)0^n+sum{k=0..n-1, C(n-1,k)A000108(k)5^(n-k-1)}.` `Conjecture: na(n) +2(8-7n)a(n-1) +45(n-2)*a(n-2) = 0. - R. J. Mathar, Dec 14 2011`
	CROSSREFS	`Sequence in context: A122898 A081912 A081188 * A196834 A005389 A080954` `Adjacent sequences: A154620 A154621 A154622 * A154624 A154625 A154626`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 13 2009`

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.