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Search: id:A100133
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| A100133 |
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Sum C(n-2k,2k)3^k*2^(n-4k), k=0..floor(n/4). |
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+0
3
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| 1, 2, 4, 8, 19, 50, 136, 368, 985, 2618, 6940, 18392, 48763, 129338, 343120, 910304, 2415025, 6406898, 16996852, 45090728, 119620579, 317340098, 841868632, 2233386320, 5924932489, 15718204970, 41698695820, 110622122360
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of 1,1,1,1,4,4,10,10,28,28,76,... (g.f. (1-x)(1+x)^2/(1-2x^2-2x^4)).
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FORMULA
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G.f.: (1-2x)/((1-2x)^2-3x^4); a(n)=4a(n-1)-4a(n-2)+3a(n-3).
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CROSSREFS
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Cf. A100131, A100132.
Sequence in context: A099526 A005703 A003081 this_sequence A099598 A128816 A006897
Adjacent sequences: A100130 A100131 A100132 this_sequence A100134 A100135 A100136
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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), Nov 06 2004
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