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A016178
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Expansion of 1/((1-7x)(1-9x)).
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4
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1, 16, 193, 2080, 21121, 206896, 1979713, 18640960, 173533441, 1602154576, 14701866433, 134294124640, 1222488408961, 11099284691056, 100571785292353, 909893629141120, 8222275592839681, 74233110849544336
(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 (16,-63)
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FORMULA
| a(n)=(9^(n+1)-7^(n+1))/2 = A081202(n+1). Binomial transform of A081034. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 18 2008]
a(n)=9*a(n-1)+7^n, with a(0)=1. [From Vincenzo Librandi, Feb 09 2011]
a(n)=16*a(n-1)-63*a(n-2), n>=2. [From Vincenzo Librandi, Feb 09 2011]
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MATHEMATICA
| Join[{a=1, b=16}, Table[c=16*b-63*a; a=b; b=c, {n, 40}]] (*From Vladimir Joseph Stephan Orlovsky, Feb 08 2011*)
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CROSSREFS
| Sequence in context: A000767 A053539 A120994 * A081202 A196803 A081185
Adjacent sequences: A016175 A016176 A016177 * A016179 A016180 A016181
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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