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A100230
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Main diagonal of triangle A100229.
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5
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1, 2, 10, 35, 118, 392, 1297, 4286, 14158, 46763, 154450, 510116, 1684801, 5564522, 18378370, 60699635, 200477278, 662131472, 2186871697, 7222746566, 23855111398, 78788080763, 260219353690, 859446141836, 2838557779201
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..24.
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FORMULA
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a(n) = 3*a(n-1) + a(n-2) + 3 for n>1, with a(0)=1, a(1)=2. G.f.: Sum_{n>=1} a(n)*x^n/n = log((1-x)/(1-3*x-x^2)).
a(0)=1, a(1)=2, a(2)=10, a(n)=4*a(n-1)-2*a(n-2)-a(n-3) [From Harvey P. Dale, May 06 2012]
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MATHEMATICA
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LinearRecurrence[{4, -2, -1}, {1, 2, 10}, 30] (* From Harvey P. Dale, May 06 2012 *)
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PROG
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(PARI) a(n)=if(n==0, 1, n*polcoeff(log((1-x)/(1-3*x-x^2)+x*O(x^n)), n))
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CROSSREFS
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Cf. A100228, A100229.
Equals A006497(n) - 1.
Sequence in context: A116898 A033261 A197556 * A220255 A146983 A135963
Adjacent sequences: A100227 A100228 A100229 * A100231 A100232 A100233
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna, Nov 29 2004
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STATUS
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approved
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