A212598 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

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

FORMULA

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

MAPLE

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