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A101425 Number of different cuboids with volume p^5 X q^n, where p,q are distinct prime numbers. 4
5, 12, 24, 38, 57, 78, 104, 132, 165, 200, 240, 282, 329, 378, 432, 488, 549, 612, 680, 750, 825, 902, 984, 1068, 1157, 1248, 1344, 1442, 1545, 1650, 1760, 1872, 1989, 2108, 2232, 2358, 2489, 2622, 2760, 2900, 3045, 3192, 3344, 3498, 3657, 3818, 3984, 4152 (list; graph; refs; listen; history; text; internal format)
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..47.

FORMULA

a(n) = A034836(2^5*3^n) = A034836(3^5*2^n) = A034836(p^5*q^n) for p,q distinct primes.

From Colin Barker, Mar 28 2014: (Start)

The following is conjectured.

a(n) = (37+3*(-1)^n+48*n+14*n^2)/8.

a(n) = 2*a(n-1)-2*a(n-3)+a(n-4).

G.f.: -(2*x+5)/((x+1)*(x-1)^3). (End)

CROSSREFS

Cf. A034836, A101423, A101424, A101426, A101427.

Sequence in context: A344510 A100479 A018806 * A191831 A188182 A187210

Adjacent sequences: A101422 A101423 A101424 * A101426 A101427 A101428

KEYWORD

nonn

AUTHOR

Anthony C Robin, Jan 17 2005

EXTENSIONS

Edited and extended by Ray Chandler, Dec 19 2008

a(0)=5 prepended and g.f. edited by Alois P. Heinz, Oct 05 2016

STATUS

approved

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Last modified November 26 21:15 EST 2022. Contains 358362 sequences. (Running on oeis4.)