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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
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. - R. J. Mathar, Jun 21 2010
MATHEMATICA
LinearRecurrence[{4, -6, 4, -1}, {0, 6, 22, 53}, 50] (* Harvey P. Dale, May 27 2012 *)
PROG
(PARI) a(n)=(5/6)*n^3+(5/2)*n^2+(8/3)*n \\ Charles R Greathouse IV, Oct 18 2022
CROSSREFS
Partial sums of A005891.
Sequence in context: A216050 A202803 A366917 * A216894 A212692 A034134
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Apr 02 2004
STATUS
approved

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Last modified August 30 09:19 EDT 2024. Contains 375532 sequences. (Running on oeis4.)