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A173496 Partial sums of A005036. 0

%I #2 Mar 30 2012 18:40:51

%S 1,2,4,9,25,85,346,1589,7846,40567,216327,1180227,6554627,36939883,

%T 210777514,1215644593,7077255068,41546269583,245708229893,

%U 1462853468378,8761861115930,52767463557770

%N Partial sums of A005036.

%C Partial sums of number of ways of dissecting a polygon into n quadrilaterals. The subsequence of primes in this partial sum begins: 2, 6554627, 36939883, 1215644593.

%F a(n) = SUM[i=1..n] A005036(i).

%e a(22) = 1 + 1 + 2 + 5 + 16 + 60 + 261 + 1243 + 6257 + 32721 + 175760 + 963900 + 5374400 + 30385256 + 173837631 + 1004867079 + 5861610475 + 34469014515 + 204161960310 + 1217145238485 + 7299007647552 + 44005602441840.

%Y Cf. A005036, A005419, A004127, A005038, A005040, A000207.

%K nonn

%O 1,2

%A _Jonathan Vos Post_, Feb 19 2010

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