A229148 a(n) = n^5*(7*n+5)/2.

0, 6, 304, 3159, 16896, 62500, 182736, 453789, 999424, 2007666, 3750000, 6603091, 11073024, 17822064, 27697936, 41765625, 61341696, 88031134, 123766704, 170850831, 232000000, 310391676, 409713744, 534216469, 688766976, 878906250, 1110908656, 1391843979

Offset

0,2

Comments

Number of ascending runs in {1,...,n}^6.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1).

Formula

G.f.: -(x^5+137*x^4+957*x^3+1157*x^2+262*x+6)*x/(x-1)^7.

Maple

a:= n-> n^5*(7*n+5)/2:
seq(a(n), n=0..40);

Mathematica

Table[n^5(7*n+5)/2, {n, 0, 30}] (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 6, 304, 3159, 16896, 62500, 182736}, 30] (* Harvey P. Dale, Apr 07 2018 *)

Crossrefs

Row n=6 of A229079.

Sequence in context: A081321 A159494 A221850 * A333482 A104003 A280215

Adjacent sequences: A229145 A229146 A229147 * A229149 A229150 A229151

Keyword

nonn,easy

Author

Alois P. Heinz, Sep 15 2013

Status

approved