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A077850
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Expansion of (1-x)^(-1)/(1-2*x-x^2+x^3).
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3
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1, 3, 8, 19, 44, 100, 226, 509, 1145, 2574, 5785, 13000, 29212, 65640, 147493, 331415, 744684, 1673291, 3759852, 8448312, 18983186, 42654833, 95844541, 215360730, 483911169, 1087338528, 2443227496, 5489882352, 12335653673, 27717962203, 62281695728, 139945699987
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n) = A052534(n+1) - 1.
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FORMULA
| a(n)= sum(k=0..n+2, A006054(k)) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 07 2006
a(n)=3*a(n-1)-a(n-2)-2*a(n-3)+a(n-4), n>3. Also a(n)=Sum_{k=0..n} A188106(n,k), n=0,1,2,..., giving partial sums of first convolution of A006054 with itself. - L. Edson Jeffery, Apr 22, 2011.
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CROSSREFS
| Cf. A188106. See also A189247. - L. Edson Jeffery, Apr 22, 2011.
Sequence in context: A191787 A121551 A189391 * A097550 A079490 A026789
Adjacent sequences: A077847 A077848 A077849 * A077851 A077852 A077853
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 17 2002
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