A083083 A diagonal of number array A083075.

1, 7, 97, 1831, 43393, 1242375, 41818561, 1620979687, 71191804801, 3496805826823, 190053352702753, 11329044782441127, 735151931535979777, 51600331868857972231, 3896042468112362132353, 314921475287825567805799

Offset: 0

Author

Paul Barry, Apr 23 2003

Keywords

• easy
• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..300

Crossrefs

Cf. A083082, A083084.

Programs

Magma

[((n+2)*(2*n+7)^n+1)/(n+3): n in [0..20]]; // Vincenzo Librandi, Nov 12 2011

Mathematica

Table[((n+2)(2n+7)^n+1)/(n+3),{n,0,20}] (* Harvey P. Dale, Nov 18 2021 *)

Formula

a(n) = ((n+2)*(2n+7)^n + 1)/(n+3).