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A061793
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25*(n*(n+1)/2)+3.
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1
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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; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| "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.
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REFERENCES
| D. M. Burton, Elementary Number Theory, Allyn and Bacon, Inc. Boston, MA, 1976, pp. 17.
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0..1000
Index entries for sequences related to linear recurrences with constant coefficients, signature (3,-3,1).
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PROG
| (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]
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CROSSREFS
| Cf. A000217, A060544.
Sequence in context: A157848 A046104 A116984 * A186429 A165393 A107651
Adjacent sequences: A061790 A061791 A061792 * A061794 A061795 A061796
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KEYWORD
| easy,nonn
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AUTHOR
| Jason Earls (zevi_35711(AT)yahoo.com), Jun 22 2001
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EXTENSIONS
| Corrected by T. D. Noe (noe(AT)sspectra.com), Oct 25 2006
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