A011942 [ n(n-1)(n-2)(n-3)/32 ].

0, 0, 0, 0, 0, 3, 11, 26, 52, 94, 157, 247, 371, 536, 750, 1023, 1365, 1785, 2295, 2907, 3633, 4488, 5486, 6641, 7969, 9487, 11212, 13162, 15356, 17813, 20553, 23598, 26970, 30690, 34782, 39270, 44178

Offset

0,6

Links

Table of n, a(n) for n=0..36.

Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -6, 6, -10, 10, -6, 6, -10, 10, -6, 6, -10, 10, -5, 1).

Formula

a(n) = +5*a(n-1) -10*a(n-2) +10*a(n-3) -6*a(n-4) +6*a(n-5) -10*a(n-6) +10*a(n-7) -6*a(n-8) +6*a(n-9) -10*a(n-10) +10*a(n-11) -6*a(n-12) +6*a(n-13) -10*a(n-14) +10*a(n-15) -5*a(n-16) +a(n-17). G.f.: x^5*(x^2-x+1)*(3*x^8-x^7-3*x^6+5*x^4-3*x^2-x+3) / ((1-x)^5*(x^4+1)*(x^8+1) ). [From R. J. Mathar, Apr 15 2010]

Crossrefs

Sequence in context: A272296 A051925 A211811 * A220147 A256315 A290513

Adjacent sequences: A011939 A011940 A011941 * A011943 A011944 A011945

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved