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A092185 a(n) = (5/6)*n^3+(5/2)*n^2+(8/3)*n. 1
0, 6, 22, 53, 104, 180, 286, 427, 608, 834, 1110, 1441, 1832, 2288, 2814, 3415, 4096, 4862, 5718, 6669, 7720, 8876, 10142, 11523, 13024, 14650, 16406, 18297, 20328, 22504, 24830, 27311, 29952, 32758, 35734, 38885, 42216, 45732, 49438, 53339, 57440, 61746, 66262 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). [From R. J. Mathar, Jun 21 2010]

FORMULA

a(n)= +4*a(n-1) -6*a(n-2) +4*a(n-3) -a(n-4). G.f.: x*(6-2*x+x^2)/(x-1)^4. [From R. J. Mathar, Jun 21 2010]

MATHEMATICA

LinearRecurrence[{4, -6, 4, -1}, {0, 6, 22, 53}, 50] (* Harvey P. Dale, May 27 2012 *)

CROSSREFS

Partial sums of A005891.

Sequence in context: A072972 A216050 A202803 * A216894 A212692 A034134

Adjacent sequences:  A092182 A092183 A092184 * A092186 A092187 A092188

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Apr 02 2004

STATUS

approved

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Last modified March 23 16:52 EDT 2019. Contains 321432 sequences. (Running on oeis4.)