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Search: id:A099626
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| A099626 |
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A transform of the Pell numbers. |
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+0
1
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| 0, 1, 2, 7, 18, 52, 142, 397, 1098, 3051, 8460, 23480, 65140, 180749, 501498, 1391483, 3860822, 10712348, 29722698, 82469313, 228821202, 634892599, 1761587480, 4887741040, 13561638120, 37628431801, 104404708402, 289683694927
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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A modified Chebyshev transform of A000129. Under this transform, the g.f. G(x) is mapped to (1/(1-x^2))G(x/(1-x^2)).
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FORMULA
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G.f.: x/(1-2x-3x^2+2x^3+x^4); a(n)=2a(n-1)+3a(n-2)-2a(n-3)-a(n-4); a(n)=sum{k=0..floor(n/2), binomial(n-k, k)Pell(n-2k)}.
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CROSSREFS
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Adjacent sequences: A099623 A099624 A099625 this_sequence A099627 A099628 A099629
Sequence in context: A122931 A094976 A006869 this_sequence A046672 A046866 A000988
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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), Oct 25 2004
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