

A061208


Numbers which can be expressed as sum of distinct triangular numbers (A000217).


2



1, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77
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OFFSET

1,2


COMMENTS

These numbers were called "almosttriangular" numbers during the Peru's Selection Test for the XII IberoAmerican Olympiad (1998). All numbers >= 34 are almosttriangular: see link. [Bernard Schott, Feb 04 2013]


LINKS

Table of n, a(n) for n=1..71.
R. E. Woodrow, The Olympiad Corner, No. 198, Crux Mathematicorum, v25n4(2002), 207208, exercise 2.


EXAMPLE

25 = 1 + 3 + 6 + 15


MAPLE

gf := product(1+x^(j*(j+1)/2), j=1..100): s := series(gf, x, 200): for i from 1 to 200 do if coeff(s, x, i) > 0 then printf(`%d, `, i) fi:od:


CROSSREFS

Cf. A000217, A007294, A051611, A051533. Complement of A053614.
Sequence in context: A087753 A233334 A070762 * A183860 A184429 A248185
Adjacent sequences: A061205 A061206 A061207 * A061209 A061210 A061211


KEYWORD

nonn


AUTHOR

Amarnath Murthy, Apr 21 2001


EXTENSIONS

Corrected and extended by James A. Sellers, Apr 24 2001


STATUS

approved



