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A233131 Sum of remainders of n modulo all smaller composite numbers. 2
0, 0, 0, 0, 0, 1, 2, 4, 2, 5, 9, 14, 9, 15, 21, 28, 24, 33, 27, 37, 33, 44, 56, 69, 52, 66, 81, 88, 87, 105, 92, 111, 102, 122, 143, 165, 139, 163, 187, 212, 196, 223, 209, 237, 239, 244, 274, 305, 266, 298, 296, 330, 335, 371, 347, 384, 368, 407, 447, 488, 432, 474, 516, 529, 513, 558, 543, 590, 599, 647, 637, 687, 620 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Table of n, a(n) for n=0..72.

FORMULA

a(n) = A004125(n) - A024934(n).

MATHEMATICA

Table[Total[Mod[n, Select[Range[n-1], CompositeQ]]], {n, 0, 80}] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Oct 01 2018 *)

CROSSREFS

Cf. A143853, A233344

Sequence in context: A267005 A011169 A279481 * A202395 A117903 A167685

Adjacent sequences:  A233128 A233129 A233130 * A233132 A233133 A233134

KEYWORD

nonn

AUTHOR

Max Alekseyev, Dec 07 2013

STATUS

approved

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Last modified July 24 23:15 EDT 2021. Contains 346273 sequences. (Running on oeis4.)