This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A101425 #16 Oct 06 2016 07:32:10 %S A101425 5,12,24,38,57,78,104,132,165,200,240,282,329,378,432,488,549,612,680, %T A101425 750,825,902,984,1068,1157,1248,1344,1442,1545,1650,1760,1872,1989, %U A101425 2108,2232,2358,2489,2622,2760,2900,3045,3192,3344,3498,3657,3818,3984,4152 %N A101425 Number of different cuboids with volume p^5 X q^n, where p,q are distinct prime numbers. %C A101425 Subsequence of A034836, which gives the number of cuboids for volume n. %F A101425 a(n) = A034836(2^5*3^n) = A034836(3^5*2^n) = A034836(p^5*q^n) for p,q distinct primes. %F A101425 From _Colin Barker_, Mar 28 2014: (Start) %F A101425 The following is conjectured. %F A101425 a(n) = (37+3*(-1)^n+48*n+14*n^2)/8. %F A101425 a(n) = 2*a(n-1)-2*a(n-3)+a(n-4). %F A101425 G.f.: -(2*x+5)/((x+1)*(x-1)^3). (End) %Y A101425 Cf. A034836, A101423, A101424, A101426, A101427. %K A101425 nonn %O A101425 0,1 %A A101425 _Anthony C Robin_, Jan 17 2005 %E A101425 Edited and extended by _Ray Chandler_, Dec 19 2008 %E A101425 a(0)=5 prepended and g.f. edited by _Alois P. Heinz_, Oct 05 2016