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A016130
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Expansion of 1/((1-2x)(1-7x)).
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8
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1, 9, 67, 477, 3355, 23517, 164683, 1152909, 8070619, 56494845, 395464939, 2768256621, 19377800443, 135644611293, 949512295435, 6646586100813, 46526102771227, 325682719529661, 2279779036969771
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (9,-14)
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FORMULA
| (7^(n+1) - 2^(n+1))/5 - Lambert Klasen (lambert.klasen(AT)gmx.net), Feb 06 2005
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EXAMPLE
| 1/((1-2x)(1-7x)) = 1 + 9*x + 67*x^2 + 477*x^3 + 3355*x^4 + 23517*x^5 + 164683*x^6 + ...
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MATHEMATICA
| Join[{a=1, b=9}, Table[c=9*b-14*a; a=b; b=c, {n, 60}]] (*From Vladimir Joseph Stephan Orlovsky, Jan 27 2011*)
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PROG
| (Other) sage: [lucas_number1(n, 9, 14) for n in xrange(1, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 23 2009]
(Other) sage: [(7^n - 2^n)/5 for n in xrange(1, 20)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 04 2009]
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CROSSREFS
| Sequence in context: A197277 A105287 A163349 * A115202 A155592 A002051
Adjacent sequences: A016127 A016128 A016129 * A016131 A016132 A016133
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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