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A016198
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Expansion of 1/((1-x)(1-2x)(1-5x)).
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0
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1, 8, 47, 250, 1281, 6468, 32467, 162590, 813461, 4068328, 20343687, 101722530, 508620841, 2543120588, 12715635707, 63578244070, 317891351421, 1589457019248, 7947285620527, 39736429151210
(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 (8,-17,10).
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FORMULA
| a(n) = (25*5^n-16*2^n+3)/12. - Bruno Berselli, Feb 09 2011
a(n) = [(5^0-2^0) + (5^1-2^1) + ... + (5^n-2^n)]/3. - r22lou(AT)cox.net, Nov 14 2005
a(0)=1, a(n)=5*a(n-1)+2^(n+1)-1. [From Vincenzo Librandi, Feb 07 2011]
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MAPLE
| a:=n->sum((5^(n-j)-2^(n-j))/3, j=0..n): seq(a(n), n=1..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 04 2007
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MATHEMATICA
| Join[{a=1, b=8}, Table[c=7*b-10*a+1; a=b; b=c, {n, 60}]] (*From Vladimir Joseph Stephan Orlovsky, Feb 06 2011*)
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CROSSREFS
| Cf. A016209, A016218, A016208, A000392, A000225, A003462, A003463, A003464, A023000, A023001, A002452, A002275, A016123, A016125, A016256.
Sequence in context: A139262 A029760 A026900 * A177257 A051140 A014524
Adjacent sequences: A016195 A016196 A016197 * A016199 A016200 A016201
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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