

A264118


Numbers that can be represented as S1+S2, as T1+T2, and as S3+T3, where S1, S2, S3 are positive squares, and T1, T2, T3 are positive triangular numbers.


1



2, 25, 29, 37, 61, 65, 72, 100, 101, 106, 130, 136, 137, 157, 169, 200, 202, 205, 226, 232, 234, 241, 274, 277, 289, 340, 353, 389, 400, 409, 416, 421, 436, 442, 445, 466, 490, 514, 520, 522, 562, 577, 596, 610, 625, 637, 640, 661, 666, 676, 697, 724, 757, 765, 785, 794, 820
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OFFSET

1,1


COMMENTS

Intersection of A000404, A051533, A133254.


LINKS

Table of n, a(n) for n=1..57.


EXAMPLE

a(1) = 2 = 1+1.
25 is a term because 25 = 16 + 9 = 10 + 15 = 4 + 21, and 16, 9, 4 are squares, 10, 15, 21 are triangular numbers.


CROSSREFS

Cf. A000217, A000290, A000404, A051533, A133254, A264101.
Sequence in context: A041723 A067443 A163497 * A054292 A248546 A038834
Adjacent sequences: A264115 A264116 A264117 * A264119 A264120 A264121


KEYWORD

nonn


AUTHOR

Alex Ratushnyak, Nov 03 2015


STATUS

approved



