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A099626 A transform of the Pell numbers. 0
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; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

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)).

LINKS

Table of n, a(n) for n=0..27.

Index entries for linear recurrences with constant coefficients, signature (2,3,-2,-1).

FORMULA

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)}.

CROSSREFS

Sequence in context: A094976 A280598 A006869 * A261331 A046672 A046866

Adjacent sequences:  A099623 A099624 A099625 * A099627 A099628 A099629

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Oct 25 2004

STATUS

approved

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Last modified February 27 15:59 EST 2020. Contains 332307 sequences. (Running on oeis4.)