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A085037 Smallest square divisible by the n-th triangular number (n(n+1)/2). 1
1, 9, 36, 100, 225, 441, 196, 36, 225, 3025, 4356, 6084, 8281, 11025, 3600, 4624, 2601, 3249, 36100, 44100, 53361, 64009, 19044, 900, 4225, 13689, 15876, 164836, 189225, 216225, 15376, 17424, 314721, 354025, 44100, 49284, 494209, 549081, 152100 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000

MATHEMATICA

tri = 0; Table[tri = tri + n; {p, e} = Transpose[FactorInteger[tri]]; e = Quotient[(e + 1), 2]; Times @@ (p^(2 e)), {n, 100}] (* T. D. Noe, Aug 01 2011 *)

ssq[n_]:=With[{c=n*Range[1000]}, Select[c, IntegerQ[Sqrt[#]]&, 1]]; Flatten[ ssq/@Accumulate[Range[40]]] (* Harvey P. Dale, Mar 23 2012 *)

CROSSREFS

Cf. A000537, A139131 (square root of this sequence).

Sequence in context: A066647 A187607 A231674 * A231678 A231682 A169835

Adjacent sequences:  A085034 A085035 A085036 * A085038 A085039 A085040

KEYWORD

nonn

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 19 2003

EXTENSIONS

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jun 25 2003

STATUS

approved

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Last modified January 28 07:04 EST 2020. Contains 331317 sequences. (Running on oeis4.)