A173496 Partial sums of A005036.

1, 2, 4, 9, 25, 85, 346, 1589, 7846, 40567, 216327, 1180227, 6554627, 36939883, 210777514, 1215644593, 7077255068, 41546269583, 245708229893, 1462853468378, 8761861115930, 52767463557770

Offset

1,2

Comments

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.

Links

Table of n, a(n) for n=1..22.

Formula

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

Example

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

Crossrefs

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

Sequence in context: A140290 A192801 A270954 * A173311 A127055 A124835

Adjacent sequences: A173493 A173494 A173495 * A173497 A173498 A173499

Keyword

nonn

Author

Jonathan Vos Post, Feb 19 2010

Status

approved