A162723 - OEIS

A162723

a(n) = 9 a (n-1)-26 a(n-2) +24 a(n-3) (n >= 3) with a(0) =a(1)=1, a(2)=2.

1, 1, 2, 16, 116, 676, 3452, 16276, 72956, 316276, 1340252, 5590036, 23054396, 94314676, 383578652, 1553331796, 6270493436, 25253701876, 101530450652, 407669649556, 1635323974076, 6555235693876, 26262769508252

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OFFSET

0,3

COMMENTS

The above sequence also satisfies a(n)-6 a(n-1)+8 a(n-2)=4*3^{n-2} (n >= 3) with a(0)= a(1)=1.

LINKS

Table of n, a(n) for n=0..22.

FORMULA

a(n)=7*2^(n-1)+3*2^(2*n-1)-4*3^n. G.f.: -(1-8*x+19*x^2)/((3*x-1)*(2*x-1)*(4*x-1)) [From R. J. Mathar, Jul 13 2009]

CROSSREFS

Sequence in context: A207736 A208364 A207711 * A288964 A193289 A159324

Adjacent sequences: A162720 A162721 A162722 * A162724 A162725 A162726

KEYWORD

nonn

AUTHOR

Tian-Xiao He (the(AT)iwu.edu), Jul 11 2009

EXTENSIONS

More terms from Vincenzo Librandi and R. J. Mathar, Jul 13 2009

STATUS

approved