A083083 A diagonal of number array A083075.

1, 7, 97, 1831, 43393, 1242375, 41818561, 1620979687, 71191804801, 3496805826823, 190053352702753, 11329044782441127, 735151931535979777, 51600331868857972231, 3896042468112362132353, 314921475287825567805799, 27136424012470465744753921, 2483414254125736466793551367

Offset

0,2

Links

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

Formula

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

a(n) ~ exp(7/2-49/(8*n)) * (2*n)^n. - Amiram Eldar, Feb 05 2026

Mathematica

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

Prog

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

Crossrefs

Cf. A083075, A083082, A083084.

Sequence in context: A371367 A188441 A178808 * A022007 A174516 A058805

Adjacent sequences: A083080 A083081 A083082 * A083084 A083085 A083086

Keyword

easy,nonn

Author

Paul Barry, Apr 23 2003

Status

approved