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A319711 Sum of A034968(d) over proper divisors d of n, where A034968 gives the sum of digits in factorial base. 3
0, 1, 1, 2, 1, 4, 1, 4, 3, 5, 1, 7, 1, 4, 6, 6, 1, 8, 1, 10, 5, 6, 1, 11, 4, 5, 6, 9, 1, 15, 1, 10, 7, 7, 6, 15, 1, 6, 6, 16, 1, 15, 1, 13, 13, 8, 1, 16, 3, 10, 8, 9, 1, 14, 8, 14, 7, 6, 1, 25, 1, 5, 13, 13, 7, 18, 1, 13, 9, 18, 1, 21, 1, 6, 12, 12, 7, 15, 1, 25, 9, 8, 1, 26, 9, 7, 7, 20, 1, 29, 6, 16, 6, 9, 8, 21, 1, 10, 14, 19, 1, 18, 1, 15, 22 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

Index entries for sequences related to factorial base representation

FORMULA

a(n) = Sum_{d|n, d<n} A034968(d).

a(n) = A319712(n) - A034968(n).

PROG

(PARI)

A034968(n) = { my(s=0, b=2, d); while(n, d = (n%b); s += d; n = (n-d)/b; b++); (s); };

A319711(n) = sumdiv(n, d, (d<n)*A034968(d));

CROSSREFS

Cf. A034968, A319712, A319713.

Sequence in context: A107457 A112350 A321437 * A319713 A063717 A024994

Adjacent sequences:  A319708 A319709 A319710 * A319712 A319713 A319714

KEYWORD

nonn

AUTHOR

Antti Karttunen, Oct 02 2018

STATUS

approved

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Last modified September 17 01:53 EDT 2021. Contains 347478 sequences. (Running on oeis4.)