A181512 -id:A181512 - cp's OEIS frontend

A181513 Row sums of A181512.

1, 2, 5, 19, 81, 436, 2659

Offset: 1

Alford Arnold, Oct 26 2010

nonn

			a(4) = 1+3+3+6+6= 19.

Cf. A181511, A181512

A181511 Triangle T(n,k) = n!/(n-k)! read by rows, 0 <= k < n.

Original entry on oeis.org

1, 1, 2, 1, 3, 6, 1, 4, 12, 24, 1, 5, 20, 60, 120, 1, 6, 30, 120, 360, 720, 1, 7, 42, 210, 840, 2520, 5040, 1, 8, 56, 336, 1680, 6720, 20160, 40320, 1, 9, 72, 504, 3024, 15120, 60480, 181440, 362880, 1, 10, 90, 720, 5040, 30240, 151200, 604800, 1814400, 3628800

Offset: 1

Alford Arnold, Oct 26 2010

Row n contains the same set of values as row A181512(n,.), which are related to labeled rooted trees (A000169) and Bell numbers (A000110) respectively.

			The triangle begins:
  1;
  1,  2;
  1,  3,  6;
  1,  4, 12, 24;
which is A181512 without duplicates.

Reinhard Zumkeller, Rows n = 0..100 of triangle, flattened

Cf. A002627 (row sums).

a181511 n k = a181511_tabl !! (n-1) !! k
a181511_row n = a181511_tabl !! (n-1)
a181511_tabl = tail $ map init a008279_tabl
-- Reinhard Zumkeller, Nov 18 2012

A181511 := proc(n,k) n!/(n-k)! ; end proc:
seq(seq(A181511(n,k),k=0..n-1),n=1..16) ; # R. J. Mathar, Mar 03 2011

T(n,k) = A008279(n,k). - R. J. Mathar, Mar 03 2011

cp's OEIS Frontend

A181513 Row sums of A181512.

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A181511 Triangle T(n,k) = n!/(n-k)! read by rows, 0 <= k < n.

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