|
%I #18 Aug 21 2016 12:54:16
%S 2,16,81,471,1056,1381,6906,17956,34531,40056,200281,520731,1001406,
%T 1482081,7410406,19267056,37052031,60765331,303826656,789949306,
%U 1519133281,3220562556,13429138206,16102812781,41867313231,80514063906,196454315931,711744324931
%N Indices of A052344 (ways to write n as sum of two nonzero triangular numbers) where record values are reached.
%C The subsequence of primes begins: 2, 1381, 1519133281 [_Jonathan Vos Post_, Feb 01 2011].
%H Kenneth Korbin, <a href="http://www.jstor.org/stable/2687550">Problem 665</a>, The College Mathematics Journal Vol. 30 No. 5, Nov. 1999. Asks for the 48th number in this sequence.
%e The order of the terms is ignored when deciding in how many ways the sum can be expressed. For example, a(2) does not equal 9, although 9 = 3 + 6 = 6 + 3.
%e a(2) = 16 because 16 = 1 + 15 = 6 + 10. a(3) = 81 because 81 = 3 + 78 = 15 + 66 = 36 + 55.
%Y Probably differs from A052348 only at n=1, 2, 4.
%Y Cf. A000217, A052343, A052344, A052345, A052346, A052347, A052348.
%K nonn,nice,easy
%O 1,1
%A _Jeremy Rouse_, Jan 19 2000
%E More terms from _Christian G. Bower_, Jan 23 2000
%E a(25)-a(26) from _Donovan Johnson_, Jun 26 2010
%E a(27)-a(28) from _Donovan Johnson_, Mar 20 2013
|
