

A101423


Number of different cuboids with volume p^3 * q^n, where p,q are distinct prime numbers.


4



3, 6, 12, 19, 28, 38, 51, 64, 80, 97, 116, 136, 159, 182, 208, 235, 264, 294, 327, 360, 396, 433, 472, 512, 555, 598, 644, 691, 740, 790, 843, 896, 952, 1009, 1068, 1128, 1191, 1254, 1320, 1387, 1456, 1526, 1599, 1672, 1748, 1825, 1904, 1984, 2067, 2150, 2236
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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..50.


FORMULA

a(n) = A034836(2^3*3^n) = A034836(3^3*2^n) = A034836(p^3*q^n) for p,q distinct primes.
Empirical g.f.: (x^3+3*x^2+3*x+3)/((x+1)*(x^2+x+1)*(x1)^3).  Colin Barker, Mar 28 2014


CROSSREFS

Cf. A034836, A101424, A101425, A101426, A101427.
Sequence in context: A074899 A318872 A267591 * A263511 A180622 A125851
Adjacent sequences: A101420 A101421 A101422 * A101424 A101425 A101426


KEYWORD

nonn


AUTHOR

Anthony C Robin, Jan 17 2005


EXTENSIONS

Corrected, edited and extended by Ray Chandler, Dec 19 2008
a(0)=3 prepended and g.f. edited by Alois P. Heinz, Oct 05 2016


STATUS

approved



