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Search: id:A012814
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| 1, 5, 21, 86, 351, 1432, 5842, 23833, 97229, 396655, 1618192, 6601569, 26931732, 109870576, 448227521, 1828587033, 7459895657, 30433357674, 124155792775, 506505428836, 2066337330754, 8429820731201
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OFFSET
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0,2
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FORMULA
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a(n+3)=5*a(n+2)-4*a(n+1)+a(n).
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EXAMPLE
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sage: taylor( mul((1-x)/(1-(1-x^2)-(1-x^3)) for i in xrange(1,2)),x,1,22)# solution>> -(x - 1) + 5*(x - 1)^2 - 21*(x - 1)^3 + 86*(x - 1)^4 - 351*(x - 1)^5 +1432*(x - 1)^6 - 5842*(x - 1)^7 + 23833*(x - 1)^8 - 97229*(x - 1)^9 + 396655*(x - 1)^10 - 1618192*(x - 1)^11 +....+ 506505428836*(x - 1)^20 - 2066337330754*(x - 1)^21 + 8429820731201*(x - 1)^22 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 02 2009]
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PROGRAM
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(Other) sage: taylor( mul((1-x)/(1-(1-x^2)-(1-x^3)) for i in xrange(1, 2)), x, 1, 22)# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 02 2009]
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CROSSREFS
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a(n) = A012855(n+4)-A012855(n+3).
Sequence in context: A084241 A026855 A097113 this_sequence A039919 A010925 A019992
Adjacent sequences: A012811 A012812 A012813 this_sequence A012815 A012816 A012817
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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