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Search: id:A015528
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A015528 Linear 2nd order recurrence. +0
1
0, 1, 3, 19, 87, 451, 2223, 11179, 55767, 279091, 1394943, 6975739, 34876647, 174387331, 871928463, 4359658699, 21798260727, 108991369171, 544956714783, 2724783836059, 13623918656007, 68119594328611, 340597969545903 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n) = 3 a(n-1) + 10 a(n-2).

a(n)=5^n/7-(-2)^n/7. Binomial transform is A015540. - Paul Barry (pbarry(AT)wit.ie), Feb 07 2004

PROGRAM

(Other) sage: [lucas_number1(n, 3, -10) for n in xrange(0, 23)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 22 2009]

CROSSREFS

Sequence in context: A163431 A167242 A089621 this_sequence A050863 A049153 A074361

Adjacent sequences: A015525 A015526 A015527 this_sequence A015529 A015530 A015531

KEYWORD

nonn,easy

AUTHOR

Olivier Gerard (olivier.gerard(AT)gmail.com)

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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