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A289520 Numbers that are the sum of distinct squares of triangular numbers (A000537). 0
0, 1, 9, 10, 36, 37, 45, 46, 100, 101, 109, 110, 136, 137, 145, 146, 225, 226, 234, 235, 261, 262, 270, 271, 325, 326, 334, 335, 361, 362, 370, 371, 441, 442, 450, 451, 477, 478, 486, 487, 541, 542, 550, 551, 577, 578, 586, 587, 666, 667, 675, 676, 702, 703, 711, 712, 766, 767, 775, 776, 784, 785, 793, 794 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..64.

Index entries for sequences related to sums of squares

Index entries for sequences related to sums of cubes

Index to sequences related to polygonal numbers

FORMULA

Exponents in expansion of Product_{k>=1} (1 + x^(k*(k+1)/2)^2).

EXAMPLE

37 is in the sequence because 37 = 1 + 36 = 1^2 + (1 + 2 + 3)^2 = 1^3 + 1^3 + 2^3 + 3^3.

MATHEMATICA

max = 800; f[x_] := Product[1 + x^(k (k + 1)/2)^2, {k, 1, 10}]; Exponent[#, x] & /@ List @@ Normal[Series[f[x], {x, 0, max}]]

CROSSREFS

Cf. A000537, A003997, A061208.

Sequence in context: A322653 A322465 A119209 * A038206 A154389 A041172

Adjacent sequences:  A289517 A289518 A289519 * A289521 A289522 A289523

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jul 14 2017

STATUS

approved

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Last modified February 23 05:58 EST 2019. Contains 320411 sequences. (Running on oeis4.)