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Search: id:A084733
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| A084733 |
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Squares which are the sum of at least three successive terms of a geometric progression. |
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1
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| 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; listen)
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OFFSET
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0,1
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COMMENT
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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.
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EXAMPLE
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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.
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CROSSREFS
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Sequence in context: A044236 A044617 A090095 this_sequence A115557 A080665 A130007
Adjacent sequences: A084730 A084731 A084732 this_sequence A084734 A084735 A084736
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jun 14 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jan 03 2005
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