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A027696 Nonparametric solutions to problem in A027669: n such that for some m, the sum of the first m n-gonal numbers is again an n-gonal number. 1
3, 4, 6, 8, 10, 11, 14, 17, 30, 41, 43, 50, 60, 88, 145, 276, 322, 374, 823, 1152 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

FORMULA

The parametric solution: if n=2 mod 3, the sum of the first (n^2-4*n-2)/3 n-gonal numbers is an ((n^3-6*n^2+3*n+19)/9 th) n-gonal number.

CROSSREFS

Cf. A027669.

Sequence in context: A184398 A024665 A027669 * A027440 A169866 A029902

Adjacent sequences:  A027693 A027694 A027695 * A027697 A027698 A027699

KEYWORD

nonn

AUTHOR

Masanobu Kaneko (mkaneko(AT)math.kyushu-u.ac.jp)

EXTENSIONS

Extended Jan 05 1998 by Masanobu Kaneko.

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.