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A137856 Row sums of triangle A137855. 2

%I #9 Jun 24 2022 19:56:27

%S 1,2,4,8,17,39,97,261,756,2343,7722,26917,98789,380360,1531698,

%T 6434385,28130890,127729730,601196428,2928369917,14738842361,

%U 76547694741,409718539681,2257459567236,12789959138943,74439150889080,444647798089245,2723583835351855

%N Row sums of triangle A137855.

%H Andrew Howroyd, <a href="/A137856/b137856.txt">Table of n, a(n) for n = 1..200</a>

%F a(n) = Sum_{k=1..n} Sum_{j=1..n-k+1} Stirling2(k, j). - _Andrew Howroyd_, Aug 09 2018

%e a(5) = 17 = sum of row 5 terms of triangle A137855: (1 + 2 + 5 + 8 + 1).

%o (PARI) a(n)={sum(k=1, n, sum(j=1, n-k+1, stirling(k,j,2)))} \\ _Andrew Howroyd_, Aug 09 2018

%Y Cf. A137855.

%Y Partial sums of A024427.

%K nonn

%O 1,2

%A _Gary W. Adamson_, Feb 18 2008

%E Terms a(12) and beyond from _Andrew Howroyd_, Aug 09 2018

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Last modified June 12 19:14 EDT 2024. Contains 373360 sequences. (Running on oeis4.)