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A081590 Fourth row of Pascal-(1,5,1) array A081580. 3
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; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n) = 1 + 36*n - 54*n^2 + 36*n^3.

G.f.: (1+5x)^3/(1-x)^4.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(0)=1, a(1)=19, a(2)=145, a(3)=595. - Harvey P. Dale, Sep 07 2011

MATHEMATICA

Table[36n^3-54n^2+36n+1, {n, 0, 50}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {1, 19, 145, 595}, 50] (* Harvey P. Dale, Sep 07 2011 *)

PROG

(MAGMA) [1+36*n-54*n^2+36*n^3: n in [0..40]]; // Vincenzo Librandi, Sep 07 2011

CROSSREFS

Cf. A081589.

Sequence in context: A110694 A107962 A002615 * A093646 A264679 A200530

Adjacent sequences:  A081587 A081588 A081589 * A081591 A081592 A081593

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Mar 23 2003

STATUS

approved

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Last modified June 17 05:55 EDT 2021. Contains 345080 sequences. (Running on oeis4.)