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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. +0
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 (list; graph; listen)
OFFSET

1,1

REFERENCES

Fred. Schuh, Vragen betreffende een onbepaalde vergelijking, Nieuw Tijdschrift voor Wiskunde, 52 (1964-1965) 193-198.

FORMULA

1/2*n*(n+1)*(8*n^2+6*n-1). G.f.: x*(19*x^2+64*x+13)/((1+x)*(1-x)^5).

MAPLE

seq(1/2*n*(n+1)*(8*n^2+6*n-1), n=1..40);

CROSSREFS

Cf. A002417, A076454-A076459.

Sequence in context: A125401 A089763 A124298 this_sequence A016162 A023061 A121033

Adjacent sequences: A076454 A076455 A076456 this_sequence A076458 A076459 A076460

KEYWORD

easy,nonn

AUTHOR

Floor van Lamoen (fvlamoen(AT)hotmail.com), Oct 13 2002

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Last modified July 6 17:22 EDT 2008. Contains 140988 sequences.


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