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Search: id:A094196
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| A094196 |
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Indices of the start of a string of 24 consecutive squares whose sum is a square. |
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+0
2
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| 1, 9, 20, 25, 44, 76, 121, 197, 304, 353, 540, 856, 1301, 2053, 3112, 3597, 5448, 8576, 12981, 20425, 30908, 35709, 54032, 84996, 128601, 202289, 306060, 353585, 534964, 841476, 1273121, 2002557, 3029784, 3500233, 5295700, 8329856, 12602701
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The sequence could also include -11, -8 and -4; and if N is in the sequence, then so is -23-N.
Equivalently, 24a(n)^2 + 552a(n) + 4324 is square.
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LINKS
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K. S. Brown, Sum of Consecutive Nth Powers Equals an Nth Power
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FORMULA
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Recurrence: a(n+12) = 10a(n+6) - a(n) + 92.
O.g.f.: x*(-1-8*x-11*x^2-5*x^3-19*x^4-32*x^5-35*x^6+4*x^7+3*x^8+x^9+3*x^10+4*x^11+4*x^12) / ((-1+x) * (1-10*x^6+x^12)). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 02 2007
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PROGRAM
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(PARI) for(n=1, 15000000, if(issquare(sum(j=n, n+23, j^2)), print1(n, ", "))) (from Klaus Brockhaus)
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CROSSREFS
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Cf. A001032.
Sequence in context: A156746 A064266 A050682 this_sequence A017497 A059108 A028566
Adjacent sequences: A094193 A094194 A094195 this_sequence A094197 A094198 A094199
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KEYWORD
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nonn
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), May 25 2004
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EXTENSIONS
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More terms from Don Reble (djr(AT)hotmail.com) and Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 01 2004
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