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A016187
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Expansion of 1/((1-8x)(1-11x)).
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1
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1, 19, 273, 3515, 42761, 503139, 5796673, 65860555, 741243321, 8287894259, 92240578673, 1023236299995, 11324318776681, 125117262357379, 1380687932442273, 15222751628953835, 167731742895202841
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| (11^(n+1)-8^(n+1))/3 - Lambert Klasen (lambert.klasen(AT)gmx.net), Feb 05 2005
a(0)=1, a(n)=11*a(n-1)+8^n. [From Vincenzo Librandi, Feb 09 2011]
a(0)=1, a(1)=19, a(n)=19*a(n-1)-88*a(n-2). [From Vincenzo Librandi, Feb 09 2011]
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MATHEMATICA
| Join[{a=1, b=19}, Table[c=19*b-88*a; a=b; b=c, {n, 40}]] (*From Vladimir Joseph Stephan Orlovsky, Feb 14 2011*)
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PROG
| (PARI) for(n=1, 10, print1((11^n-8^n)/3, ", ")) MM(n, N) = local(M); M=matrix(n, n); for(i=1, n, for(j=1, n, if(i==j, M[i, j]=N, M[i, j]=1))); M for(i=1, 10, print1((MM(3, 9)^i)[1, 2], ", "))
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CROSSREFS
| Sequence in context: A125476 A016248 A199819 * A016184 A197742 A081045
Adjacent sequences: A016184 A016185 A016186 * A016188 A016189 A016190
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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