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A081588 Fourth row of the Pascal-(1,4,1) array A081579. 3
1, 16, 106, 396, 1011, 2076, 3716, 6056, 9221, 13336, 18526, 24916, 32631, 41796, 52536, 64976, 79241, 95456, 113746, 134236, 157051, 182316, 210156, 240696, 274061, 310376, 349766, 392356, 438271, 487636, 540576, 597216, 657681, 722096 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

FORMULA

a(n) = (6+115*n-150*n^2+125*n^3)/6.

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

MATHEMATICA

CoefficientList[Series[(1 + 4 x)^3 / (1 - x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Aug 09 2013 *)

PROG

(MAGMA) [(6+115*n-150*n^2+125*n^3)/6: n in [0..40]]; // Vincenzo Librandi, Aug 09 2013

CROSSREFS

Cf. A081587.

Sequence in context: A146211 A258636 A195806 * A276159 A097762 A083469

Adjacent sequences:  A081585 A081586 A081587 * A081589 A081590 A081591

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Mar 23 2003

STATUS

approved

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Last modified December 4 17:26 EST 2016. Contains 278755 sequences.