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A076457
Sum of numbers that can be written as t*n + u*(n+1) for nonnegative integers t,u in exactly four ways.
1
13, 129, 534, 1510, 3435, 6783, 12124, 20124, 31545, 47245, 68178, 95394, 130039, 173355, 226680, 291448, 369189, 461529, 570190, 696990, 843843, 1012759, 1205844, 1425300, 1673425, 1952613, 2265354, 2614234, 3001935, 3431235, 3905008, 4426224, 4997949, 5623345
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)*(8*n^2+6*n-1)/2.
G.f.: x*(13+64*x+19*x^2)/(1-x)^5.
MAPLE
seq(1/2*n*(n+1)*(8*n^2+6*n-1), n=1..40);
MATHEMATICA
CoefficientList[Series[(13 + 64 x + 19 x^2)/(1 - x)^5, {x, 0, 50}], x] (* Vincenzo Librandi, Dec 30 2013 *)
PROG
(Magma) [n*(n+1)*(8*n^2+6*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