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Search: id:A093967
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A093967 n*Pell(n). +0
3
0, 1, 4, 15, 48, 145, 420, 1183, 3264, 8865, 23780, 63151, 166320, 434993, 1130948, 2925375, 7533312, 19323713, 49395780, 125877071, 319888560, 810893265, 2050891876, 5176349663, 13040153280, 32793453025, 82337215012, 206424991215 (list; graph; listen)
OFFSET

0,3

COMMENT

Binomial transform of A093968.

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,1000

FORMULA

G.f.: x(1+x^2)/(1-2x-x^2)^2; a(n)=n((1+sqrt(2))^n-(1-sqrt(2))^n)/(2sqrt(2)); a(n)=n*A000129(n).

MAPLE

seq(fibonacci(n, 2)*n, n=0..27); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 05 2008

PROGRAM

(PARI) { default(realprecision, 800); s=sqrt(2); for (n=0, 1000, a=n*round(((1+s)^n-(1-s)^n)/(2*s)); write("b093967.txt", n, " ", a); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 17 2009]

CROSSREFS

Cf. A006645, A093835, A023607.

Sequence in context: A152116 A111038 A100506 this_sequence A052201 A099167 A056337

Adjacent sequences: A093964 A093965 A093966 this_sequence A093968 A093969 A093970

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Apr 21 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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