0,2

Row sums of triangle A136573. a(n) = A003422(n+1) + A000142(n+1) - (n+1). a(n) = n!*(n+1) + the sum of the first (n+1) terms of A033312: (0, 0, 1, 5, 23, 119, 719,...), where A033312 = (k! - 1, k=0,1,2,...).

a(4) = 149 = 4!*(5) = 120 + the sum of the first five terms of A033312: (0, 0, 1, 5, 23) = 29, added to 120 = 149.

a(4) = 149 = A003422(5) + A000142(5) - (n+1) = 34 + 120 - 5.

Cf. A033312, A136573, A000142.

Sequence in context: A046648 A006013 A059578 this_sequence A030836 A030931 A030896

Adjacent sequences: A136571 A136572 A136573 this_sequence A136575 A136576 A136577

nonn

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 07 2008