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A318939 If n=0 then 1 otherwise 48*(1+12*A318935(n))*(sum of cubes of odd divisors of n). 0
1, 624, 5232, 17472, 42096, 78624, 146496, 214656, 337008, 472368, 659232, 831168, 1178688, 1371552, 1799808, 2201472, 2696304, 3066336, 3960624, 4280640, 5304096, 6010368, 6969024, 7592832, 9436224, 9828624, 11499936, 12754560, 14481024 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..28.

P. J. C. Lamont, The number of Cayley integers of given norm, Proceedings of the Edinburgh Mathematical Society, 25.1 (1982): 101-103. See (10).

MAPLE

with(numtheory);

A007814 := n -> padic[ordp](n, 2):

T:= n -> add(2^(3*m), m=0..A007814(n));

f := proc(n) local t2, i, d;

if n=0 then return(1); fi;

t2:=0; for d in divisors(n) do if (d mod 2) = 1 then t2:=t2+d^3; fi; od:

48*(1+12*T(n))*t2;

end;

[seq(f(n), n=0..50)];

CROSSREFS

Cf. A318935, A318938.

Sequence in context: A043368 A158374 A006912 * A223215 A057012 A115484

Adjacent sequences:  A318936 A318937 A318938 * A318940 A318941 A318942

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Sep 15 2018

STATUS

approved

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Last modified October 16 20:36 EDT 2021. Contains 348047 sequences. (Running on oeis4.)