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Search: id:A152223
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| A152223 |
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a(n)=-4*a(n-1)+6*a(n-2), n>1 ; a(0)=1, a(1)=-6 . |
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+0
5
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| 1, -6, 30, -156, 804, -4152, 21432, -110640, 571152, -2948448, 15220704, -78573504, 405618240, -2093913984, 10809365376, -55800945408, 234013147008, -1270858260480, 6487511923968, -37575197258752, 173225860578816
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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G.F.: (1-2x)/(1+4x-6x^2). a(n)=Sum_{k, 0<=k<=n}A147703(n,k)*(-7)^k .
a(n)=(1/2)*{[ -2-sqrt(10)]^n+[ -2+sqrt(10)]^n+(1/5)*sqrt(10)*{[ -2-sqrt(10)]^n-[ -2+sqrt(10)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Dec 12 2008]
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CROSSREFS
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Cf. A152163, A152166, A152167, A152174, A152185
Sequence in context: A066534 A126474 A127017 this_sequence A152224 A026112 A038155
Adjacent sequences: A152220 A152221 A152222 this_sequence A152224 A152225 A152226
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KEYWORD
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sign
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 29 2008
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