

A101425


Number of different cuboids with volume p^5 X q^n, where p,q are distinct prime numbers.


4



5, 12, 24, 38, 57, 78, 104, 132, 165, 200, 240, 282, 329, 378, 432, 488, 549, 612, 680, 750, 825, 902, 984, 1068, 1157, 1248, 1344, 1442, 1545, 1650, 1760, 1872, 1989, 2108, 2232, 2358, 2489, 2622, 2760, 2900, 3045, 3192, 3344, 3498, 3657, 3818, 3984, 4152
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OFFSET

0,1


COMMENTS

Subsequence of A034836, which gives the number of cuboids for volume n.


LINKS

Table of n, a(n) for n=0..47.


FORMULA

a(n) = A034836(2^5*3^n) = A034836(3^5*2^n) = A034836(p^5*q^n) for p,q distinct primes.
From Colin Barker, Mar 28 2014: (Start)
The following is conjectured.
a(n) = (37+3*(1)^n+48*n+14*n^2)/8.
a(n) = 2*a(n1)2*a(n3)+a(n4).
G.f.: (2*x+5)/((x+1)*(x1)^3). (End)


CROSSREFS

Cf. A034836, A101423, A101424, A101426, A101427.
Sequence in context: A344510 A100479 A018806 * A191831 A188182 A187210
Adjacent sequences: A101422 A101423 A101424 * A101426 A101427 A101428


KEYWORD

nonn


AUTHOR

Anthony C Robin, Jan 17 2005


EXTENSIONS

Edited and extended by Ray Chandler, Dec 19 2008
a(0)=5 prepended and g.f. edited by Alois P. Heinz, Oct 05 2016


STATUS

approved



