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A061600 n^3 - n + 1. +0
2
1, 1, 7, 25, 61, 121, 211, 337, 505, 721, 991, 1321, 1717, 2185, 2731, 3361, 4081, 4897, 5815, 6841, 7981, 9241, 10627, 12145, 13801, 15601, 17551, 19657, 21925, 24361, 26971, 29761, 32737, 35905, 39271, 42841, 46621, 50617, 54835, 59281 (list; graph; listen)
OFFSET

1,3

COMMENT

Smallest of n consecutive odd numbers whose sum is n^4. (n^k can be expressed as the sum of n consecutive odd numbers the smallest of which is given by n^(k-1)-n+1.)

REFERENCES

T. A. Gulliver, Sequences from Cubes of Integers, Int. Math. Journal, 4 (2003), 439-445.

EXAMPLE

a(5) = 121 = 5^3 - 5 + 1 . We have 121 + 123 + 125 + 127 + 129 = 625 = 5^4.

CROSSREFS

Sequence in context: A071778 A110672 A034135 this_sequence A098538 A033814 A118395

Adjacent sequences: A061597 A061598 A061599 this_sequence A061601 A061602 A061603

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 19 2001

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.


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