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A155460 a(n)=8*a(n-1)+49*a(n-2), n>2 ; a(0)=1, a(1)=1, a(2)=8 . 0
1, 1, 8, 113, 1296, 15905, 190744, 2305297, 27788832, 335270209, 4043814440, 48778755761, 588376953648, 7097174661473, 85607868020536, 1032624502576465, 12455781553617984, 150244853055190657, 1812292120568806472 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

FORMULA

G.f.: (1-7*x-49*x^2)/(1-8*x-49*x^2).

a(n)=(1/2)*{[4-sqrt(65)]^(n-1)+[4+sqrt(65)]^(n-1)}+(2/65)*sqrt(65)*{[4+sqrt(65)]^(n-1)-[4-sqrt(65)]^(n-1)}+[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jan 26 2009]

CROSSREFS

Sequence in context: A296467 A164774 A259590 * A064090 A072402 A092084

Adjacent sequences:  A155457 A155458 A155459 * A155461 A155462 A155463

KEYWORD

nonn

AUTHOR

Philippe Deléham, Jan 22 2009

STATUS

approved

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Last modified February 18 00:19 EST 2019. Contains 320237 sequences. (Running on oeis4.)