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A081590
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Fourth row of Pascal-(1,5,1) array A081580.
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3
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1, 19, 145, 595, 1585, 3331, 6049, 9955, 15265, 22195, 30961, 41779, 54865, 70435, 88705, 109891, 134209, 161875, 193105, 228115, 267121, 310339, 357985, 410275, 467425, 529651, 597169, 670195, 748945, 833635, 924481, 1021699, 1125505
(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..10000
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FORMULA
| a(n)=1+36*n-54*n^2+36*n^3. G.f. (1+5x)^3/(1-x)^4.
a(0)=1, a(1)=19, a(2)=145, a(3)=595, a(n)=4*a(n-1)-6*a(n-2)+4*a(n-3)- a(n-4) [From Harvey P. Dale, Sep 07 2011]
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MATHEMATICA
| Table[36n^3-54n^2+36n+1, {n, 0, 50}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {1, 19, 145, 595}, 50] (* From Harvey P. Dale, Sep 07 2011 *)
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PROG
| (MAGMA) [1+36*n-54*n^2+36*n^3: n in [0..40]]; // Vincenzo Librandi, Sep 07 2011
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CROSSREFS
| Cf. A081589.
Sequence in context: A110694 A107962 A002615 * A093646 A200530 A183748
Adjacent sequences: A081587 A081588 A081589 * A081591 A081592 A081593
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 23 2003
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