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 A101423 Number of different cuboids with volume p^3 * q^n, where p,q are distinct prime numbers. 4

%I

%S 3,6,12,19,28,38,51,64,80,97,116,136,159,182,208,235,264,294,327,360,

%T 396,433,472,512,555,598,644,691,740,790,843,896,952,1009,1068,1128,

%U 1191,1254,1320,1387,1456,1526,1599,1672,1748,1825,1904,1984,2067,2150,2236

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

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

%F a(n) = A034836(2^3*3^n) = A034836(3^3*2^n) = A034836(p^3*q^n) for p,q distinct primes.

%F Empirical g.f.: -(x^3+3*x^2+3*x+3)/((x+1)*(x^2+x+1)*(x-1)^3). - _Colin Barker_, Mar 28 2014

%Y Cf. A034836, A101424, A101425, A101426, A101427.

%K nonn

%O 0,1

%A _Anthony C Robin_, Jan 17 2005

%E Corrected, edited and extended by _Ray Chandler_, Dec 19 2008

%E a(0)=3 prepended and g.f. edited by _Alois P. Heinz_, Oct 05 2016

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Last modified May 5 19:09 EDT 2021. Contains 343573 sequences. (Running on oeis4.)