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A016309
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Expansion of 1/((1-2*x)*(1-6*x)*(1-12*x)).
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5
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1, 20, 292, 3824, 47824, 585536, 7096384, 85576448, 1029436672, 12368356352, 148510974976, 1782675894272, 21395375902720, 256764101869568, 3081286768672768, 36976146501533696, 443717989683232768
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..500
Index to sequences with linear recurrences with constant coefficients, signature (20,-108,144)
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FORMULA
| a(n) = A071951(n+3, 3) = (24*12^n-15*6^n+2^n)/10. - Wolfdieter Lang, Nov 07 2003
a(n) = 18*a(n-1)-72*a(n-2)+2^n; a(n)=20*a(n-1)-108*a(n-2)+144*a(n-3) for n>2; [From Vincenzo Librandi, Sep 02 2011]
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PROG
| (MAGMA) [(24*12^n-15*6^n+2^n)/10: n in [0..20]]; // Vincenzo Librandi, Sep 02 2011
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CROSSREFS
| Cf. A089278, A089500.
Sequence in context: A017918 A125477 A016261 * A190824 A016259 A047795
Adjacent sequences: A016306 A016307 A016308 * A016310 A016311 A016312
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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