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Search: id:A101893
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| A101893 |
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Sum C(n,2k)Pell(k), k=0..floor(n/2). |
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+0
2
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| 0, 0, 1, 3, 8, 20, 50, 126, 320, 816, 2084, 5324, 13600, 34736, 88712, 226552, 578560, 1477504, 3773200, 9635888, 24607872, 62842944, 160486688, 409846752, 1046656000, 2672922880, 6826040896, 17432165568, 44517810688, 113688426240
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Transform of A000129 under the mapping g(x)-> (1/(1-x))g(x^2/((1-x)^2). Binomial transform of aerated Pell numbers 0,0,1,0,2,0,5,0,12,...
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FORMULA
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G.f.: x^2(1-x)/(1-4x+4x^2-2x^4); a(n)=4a(n-1)-4a(n-2)+2a(n-4); a(n)=sum{k=0..n, binomial(n, k)(A000129(k/2)(1+(-1)^k)/2}.
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CROSSREFS
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Sequence in context: A078053 A122595 A026582 this_sequence A140662 A077997 A027220
Adjacent sequences: A101890 A101891 A101892 this_sequence A101894 A101895 A101896
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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), Dec 22 2004
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