A219665 One more than the partial sums of A219661.

1, 2, 4, 9, 28, 111, 539, 3150, 21623, 172349, 1549897, 15401145, 168011253, 2003304294, 25928878273, 361788001016, 5411160126368, 86353882249912, 1464841397585336, 26323224850512720, 499551889319197566

Offset

1,2

Comments

Are there any cases after n>2, for which A219666(a(n)) = n! instead of n!+1 ? (At least for all terms a(3) - a(14) that number is n!+1.)

Compare to the conjecture given at A213710.

Links

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

Formula

a(n) = A226061(n)+1 = A219652(n!).

Mathematica

Accumulate@ Table[Length@ NestWhileList[# - Total@ IntegerDigits[#, MixedRadix[Reverse@ Range[2, 120]]] &, (n + 1)! - 1, # > n! - 1 &] - 1, {n, 0, 8}] + 1 (* Michael De Vlieger, Jun 27 2016, Version 10.2 *)

Prog

(Scheme): (define (A219665 n) (+ 1 (A226061 n)))

Crossrefs

One more than A226061.

Cf. A219652, A226061.

Cf. also A213710 (analogous sequence for base-2).

Sequence in context: A176068 A296264 A343166 * A241404 A005095 A300491

Adjacent sequences: A219662 A219663 A219664 * A219666 A219667 A219668

Keyword

nonn

Author

Antti Karttunen, May 28 2013

Extensions

Terms a(16) - a(21) computed from the new terms of A219661 by Antti Karttunen, Jun 27 2016

Status

approved