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A173282 Partial sums of A001190. 0
0, 1, 2, 3, 5, 8, 14, 25, 48, 94, 192, 399, 850, 1833, 4012, 8862, 19767, 44398, 100409, 228321, 521868, 1198025, 2761397, 6387546, 14823925, 80530820, 80530820, 188421429, 441872140, 1038444527, 2445263286, 5768499524, 13631457915 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Partial sums of Wedderburn-Etherington numbers. Partial sums of binary rooted trees (every node has out-degree 0 or 2) with n endpoints (and 2n-1 nodes in all). The subsequence of primes in this partial sum begins: 2, 3, 5, 2761397, then no more through a(32).

LINKS

Table of n, a(n) for n=0..32.

FORMULA

a(n) = SUM[i=0..n] A001190(i).

EXAMPLE

a(32) = 0 + 1 + 1 + 1 + 2 + 3 + 6 + 11 + 23 + 46 + 98 + 207 + 451 + 983 + 2179 + 4850 + 10905 + 24631 + 56011 + 127912 + 293547 + 676157 + 1563372 + 3626149 + 8436379 + 19680277 + 46026618 + 107890609 + 253450711 + 596572387 + 1406818759 + 3323236238 + 7862958391.

CROSSREFS

Cf. A001190, A000108, A001699, A002658, A006894, A003214, A088325.

Sequence in context: A119262 A177510 A062178 * A178833 A212657 A065955

Adjacent sequences:  A173279 A173280 A173281 * A173283 A173284 A173285

KEYWORD

nonn

AUTHOR

Jonathan Vos Post, Feb 14 2010

STATUS

approved

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Last modified November 17 10:34 EST 2018. Contains 317275 sequences. (Running on oeis4.)