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Search: id:A103819
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| A103819 |
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Whitney transform of Jacobsthal numbers. |
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+0
1
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| 0, 1, 3, 8, 23, 63, 172, 471, 1287, 3516, 9607, 26247, 71708, 195911, 535239, 1462300, 3995079, 10914759, 29819676, 81468871, 222577095, 608091932, 1661338055, 4538859975, 12400396060, 33878512071, 92557816263, 252872656668
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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The Whitney transform maps the sequence with g.f. g(x) to that with g.f. (1/(1-x))g(x(1+x)).
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FORMULA
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G.f.: x(1+x)/((1-x)(1+x+x^2)(1-2x-2x^2)); a(n)=2a(n-1)+2a(n-2)+a(n-3)-2a(n-4)-2a(n-5); a(n)=sum{k=0..n, sum{i=0..n, C(k, i-k)}*A001045(k)}.
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CROSSREFS
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Cf. A004070.
Sequence in context: A108457 A071618 A146998 this_sequence A147484 A017929 A017930
Adjacent sequences: A103816 A103817 A103818 this_sequence A103820 A103821 A103822
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 16 2005
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