A093468 a(1) = 1, a(2) = 2; for n >= 2, a(n+1) = a(n) + Sum {a(n)-a(i), i = 1 to n}.

1, 2, 3, 6, 18, 78, 438, 2958, 23118, 204558, 2018958, 21977358, 261478158, 3374988558, 46964134158, 700801318158, 11162196262158, 189005910310158, 3390192763174158, 64212742967590158, 1280663747055910158

Offset

1,2

Comments

Ignoring the different offsets, this is the partial sums of A001710. - Jonathan Vos Post and Franklin T. Adams-Watters, May 12 2010

Links

Table of n, a(n) for n=1..21.

Formula

a(n) = A014288(n-1)+1. - Vladeta Jovovic, Apr 08 2004

a(n)=n*a(n-1)-(n-1)*a(n-2), n>3. - Gary Detlefs, Dec 30 2010

Mathematica

a[1] = 1; a[2] = 2; a[n_] := a[n] = a[n - 1] + Sum[a[n - 1] - a[i], {i, n - 1}]; Table[ a[n], {n, 21}] (* Robert G. Wilson v, Apr 08 2004 *)

Crossrefs

Cf. A093467.

Sequence in context: A083563 A038056 A072241 * A185625 A114302 A000304

Adjacent sequences: A093465 A093466 A093467 * A093469 A093470 A093471

Keyword

nonn

Author

Amarnath Murthy, Apr 07 2004

Extensions

More terms from Robert G. Wilson v, Apr 08 2004

Status

approved