A124089 a(n) = binomial(n,6)-1.

0, 6, 27, 83, 209, 461, 923, 1715, 3002, 5004, 8007, 12375, 18563, 27131, 38759, 54263, 74612, 100946, 134595, 177099, 230229, 296009, 376739, 475019, 593774, 736280, 906191, 1107567, 1344903, 1623159, 1947791, 2324783, 2760680, 3262622

Offset

6,2

Links

Table of n, a(n) for n=6..39.

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

Formula

a(n) = A000579(n)-1.

a(0)=0, a(1)=6, a(2)=27, a(3)=83, a(4)=209, a(5)=461, a(6)=923, a(n)= 7*a(n-1)- 21*a(n-2)+35*a(n-3)-35*a(n-4)+21*a(n-5)-7*a(n-6)+ a(n-7). - Harvey P. Dale, Dec 26 2015

Maple

[seq(binomial(n, 6)-1, n=6..42)];

Mathematica

Binomial[Range[6, 40], 6]-1 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 6, 27, 83, 209, 461, 923}, 40] (* Harvey P. Dale, Dec 26 2015 *)

Prog

(Magma) [Binomial(n, 6)-1 : n in [6..40]]; // Wesley Ivan Hurt, Dec 27 2023

Crossrefs

Cf. A000096, A000579, A062748, A063258, A062988.

Sequence in context: A027313 A217365 A307040 * A250283 A100188 A131985

Adjacent sequences: A124086 A124087 A124088 * A124090 A124091 A124092

Keyword

easy,nonn

Author

Zerinvary Lajos, Nov 25 2006

Status

approved