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A061793 25*(n*(n+1)/2)+3. +0
1
3, 28, 78, 153, 253, 378, 528, 703, 903, 1128, 1378, 1653, 1953, 2278, 2628, 3003, 3403, 3828, 4278, 4753, 5253, 5778, 6328, 6903, 7503, 8128, 8778, 9453, 10153, 10878, 11628, 12403, 13203, 14028, 14878, 15753, 16653, 17578, 18528, 19503 (list; graph; listen)
OFFSET

0,1

COMMENT

"If n is a triangular number, then so are 9n+1, 25n+3 and 49n+6. (Euler, 1775)." -p. 17. Note that A060544 is the same as 9n+1 when n is triangular and that 9*(n*(n+1)/2)+1 is another formula for it.

REFERENCES

D. M. Burton, Elementary Number Theory, Allyn and Bacon, Inc. Boston, MA, 1976, pp. 17.

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,1000

PROGRAM

(PARI) v=[]; for(n=0, 100, v=concat(v, 25*(n*(n+1)/2)+3)); v

(PARI) { for (n=0, 1000, write("b061793.txt", n, " ", 25*n*(n + 1)/2 + 3) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 28 2009]

CROSSREFS

Cf. A000217, A060544.

Sequence in context: A157848 A046104 A116984 this_sequence A165393 A107651 A100019

Adjacent sequences: A061790 A061791 A061792 this_sequence A061794 A061795 A061796

KEYWORD

easy,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jun 22 2001

EXTENSIONS

Corrected by T. D. Noe (noe(AT)sspectra.com), Oct 25 2006

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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