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A076456
Sum of numbers that can be written as t*n + u*(n+1) for nonnegative integers t,u in exactly three ways.
1
9, 93, 390, 1110, 2535, 5019, 8988, 14940, 23445, 35145, 50754, 71058, 96915, 129255, 169080, 217464, 275553, 344565, 425790, 520590, 630399, 756723, 901140, 1065300, 1250925, 1459809, 1693818, 1954890, 2245035, 2566335, 2920944, 3311088, 3739065, 4207245
OFFSET
1,1
REFERENCES
Fred. Schuh, Vragen betreffende een onbepaalde vergelijking, Nieuw Tijdschrift voor Wiskunde, 52 (1964-1965) 193-198.
LINKS
FORMULA
a(n) = n*(n+1)*(6*n^2+4*n-1)/2.
G.f.: 3*x*(3+16*x+5*x^2)/(1-x)^5.
MAPLE
seq(1/2*n*(n+1)*(6*n^2+4*n-1), n=1..40);
MATHEMATICA
CoefficientList[Series[3 (3 + 16 x + 5 x^2)/(1 - x)^5, {x, 0, 50}], x] (* Vincenzo Librandi, Dec 30 2013 *)
PROG
(Magma) [n*(n+1)*(6*n^2+4*n-1)/2: n in [1..50]]; // Vincenzo Librandi, Dec 30 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Floor van Lamoen, Oct 13 2002
STATUS
approved