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 A101426 Number of different cuboids with volume p^6 * q^n, where p,q are distinct prime numbers. 4

%I

%S 7,16,32,51,76,104,139,176,220,267,320,376,439,504,576,651,732,816,

%T 907,1000,1100,1203,1312,1424,1543,1664,1792,1923,2060,2200,2347,2496,

%U 2652,2811,2976,3144,3319,3496,3680,3867,4060,4256,4459,4664,4876,5091,5312

%N Number of different cuboids with volume p^6 * 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(2^6*3^n) = A034836(3^6*2^n) = A034836(p^6*q^n) for p,q distinct primes.

%F Empirical g.f.: -(3*x^3+9*x^2+9*x+7)/((x+1)*(x^2+x+1)*(x-1)^3). - _Colin Barker_, Mar 28 2014

%Y Cf. A034836, A101423, A101424, A101425, A101427.

%K nonn

%O 0,1

%A _Anthony C Robin_, Jan 17 2005

%E Edited and extended by _Ray Chandler_, Dec 19 2008

%E a(0)=7 prepended and g.f. edited by _Alois P. Heinz_, Oct 05 2016

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Last modified April 18 15:54 EDT 2021. Contains 343089 sequences. (Running on oeis4.)