A083070 First superdiagonal of number array A083064.

1, 5, 43, 469, 6221, 98041, 1797559, 37665881, 888888889, 23343682141, 675462155171, 21356578028941, 732659790696133, 27107717023577009, 1076060070966390511, 45619867383437689201, 2057328526812890853617, 98342497503582839225461, 4966938947368421052631579

Offset

1,2

Links

Table of n, a(n) for n=1..19.

Formula

a(n) = ((n-1)*(n+1)^n + 1)/n.

a(n) ~ exp(1-1/(2*n)) * n^n. - Amiram Eldar, Feb 06 2026

Mathematica

a[n_] := ((n-1)*(n+1)^n + 1)/n; Array[a, 20] (* Amiram Eldar, Feb 06 2026 *)

Crossrefs

Cf. A083064, A083069, A083071.

Sequence in context: A369023 A274666 A301976 * A191802 A092471 A093620

Adjacent sequences: A083067 A083068 A083069 * A083071 A083072 A083073

Keyword

easy,nonn

Author

Paul Barry, Apr 21 2003

Status

approved