A212598 a(n) = n - m!, where m is the largest number such that m! <= n.

0, 0, 1, 2, 3, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66

Offset: 1

Author

N. J. A. Sloane, May 22 2012

Keywords

• nonn

Comments

The m in definition is given by A084558(n).

Sequence consists of numbers 0..A001563(n)-1 followed by numbers 0..A001563(n+1)-1, and so on. - Antti Karttunen, Dec 17 2012

Links

• A. Karttunen, Table of n, a(n) for n = 1..5040

Crossrefs

Cf. A136437, A212266, A220656.

Programs

Maple

f:=proc(n) local i; for i from 0 to n do if i! > n then break; fi; od; n-(i-1)!; end;
[seq(f(n),n=1..70)];

PARI

a(n)=my(m); while(m++!<=n,); n-(m-1)! \\ Charles R Greathouse IV, Sep 02 2015

Scheme

(define (A212598 n) (- n (A000142 (A084558 n))))

Formula

a(n) = n-A000142(A084558(n)). - Antti Karttunen, Dec 17 2012