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A053573
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5*a(n-1)+14*a(n-2), a(0)=1, a(1)=5.
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3
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1, 5, 39, 265, 1871, 13065, 91519, 640505, 4483791, 31386025, 219703199, 1537920345, 10765446511, 75358117385, 527506838079, 3692547833785, 25847834902031, 180934844183145, 1266543909544159, 8865807366284825, 62060651565042351
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 189, 194-196.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (5,14).
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FORMULA
| a(n) = ((7^(n+1))-(-2)^(n+1))/9.
a(n) = 5*a(n-1)+14*a(n-2), a(0)=1, a(1)=5.
G.f.: 1/(1-5*x-14*x^2). [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
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PROG
| (Sage) [lucas_number1(n, 5, -14) for n in xrange(1, 16)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
(PARI) a(n)=n++; ((7^n)-(-2)^n)/9 \\ Charles R Greathouse IV, Jun 11 2011
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CROSSREFS
| Sequence in context: A123614 A075135 A202391 * A003482 A201442 A135849
Adjacent sequences: A053570 A053571 A053572 * A053574 A053575 A053576
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KEYWORD
| easy,nonn
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AUTHOR
| Barry E. Williams, Jan 18 2000
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