A084733 - OEIS

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A084733

Squares which are the sum of at least three successive terms of a geometric progression.

49, 121, 169, 196, 225, 400, 441, 484, 676, 784, 900, 961, 1089, 1225, 1521, 1600, 1764, 1849, 1936, 2025, 2401, 2704, 3025, 3136, 3249, 3600, 3844, 3969, 4225, 4356, 4900, 5329, 5625, 5929, 6084, 6400, 7056, 7225, 7396, 7744, 8100, 8281, 8649, 9604

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The partial sums of three or more successive terms of the sequence (2^n), 1,2,4,8,16,32,... is given by 7,14,15,28,30,31,...hence the square of the terms of this sequence are members. The same can be extended for any sequence of the form k^n.

LINKS

Table of n, a(n) for n=1..44.

EXAMPLE

49 is a member as 49=7^2 = 7 + 14 + 28.

400 is a member as 400 = 20^2 = 1 + 7 + 7^2 + 7^3.

CROSSREFS

Intersection of A000290 and A376298.

Sequence in context: A348054 A090095 A163245 * A338499 A227863 A339131

Adjacent sequences: A084730 A084731 A084732 * A084734 A084735 A084736

KEYWORD

nonn,changed

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 14 2003

EXTENSIONS

More terms from David Wasserman, Jan 03 2005

Offset changed by Andrew Howroyd, Sep 19 2024

STATUS

approved