

A101426


Number of different cuboids with volume p^6 * q^n, where p,q are distinct prime numbers.


4



7, 16, 32, 51, 76, 104, 139, 176, 220, 267, 320, 376, 439, 504, 576, 651, 732, 816, 907, 1000, 1100, 1203, 1312, 1424, 1543, 1664, 1792, 1923, 2060, 2200, 2347, 2496, 2652, 2811, 2976, 3144, 3319, 3496, 3680, 3867, 4060, 4256, 4459, 4664, 4876, 5091, 5312
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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..46.


FORMULA

a(n) = A034836(2^6*3^n) = A034836(3^6*2^n) = A034836(p^6*q^n) for p,q distinct primes.
Empirical g.f.: (3*x^3+9*x^2+9*x+7)/((x+1)*(x^2+x+1)*(x1)^3).  Colin Barker, Mar 28 2014


CROSSREFS

Cf. A034836, A101423, A101424, A101425, A101427.
Sequence in context: A286733 A286773 A019541 * A296153 A190661 A233058
Adjacent sequences: A101423 A101424 A101425 * A101427 A101428 A101429


KEYWORD

nonn


AUTHOR

Anthony C Robin, Jan 17 2005


EXTENSIONS

Edited and extended by Ray Chandler, Dec 19 2008
a(0)=7 prepended and g.f. edited by Alois P. Heinz, Oct 05 2016


STATUS

approved



