A193464 Row sums of triangle A076731.

0, 2, 7, 30, 146, 852, 5823, 45740, 405844, 4012710, 43733975, 520795002, 6726601062, 93651619880, 1398047697151, 22275111534552, 377278848390248, 6768744159489930, 128228860181918439, 2557808459478878870, 53585748788874537850, 1176328664895760953852

Offset

1,2

Links

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

Formula

a(n) = sum(A076731(n,k), k=1..n).

a(n) = sum((1/(n-k)!)*A061312(n-1,k-1), k=1..n).

a(n) = sum((1/(n-k)!)*sum(((-1)^j)*binomial(k,j)*(n-j)!, j=0..k), k=1..n).

Maple

A193464 := proc(n): add(A076731(n, k), k=1..n) end: A076731:=proc(n, k): (1/(n-k)!)*A061312(n-1, k-1) end: A061312:=proc(n, k): add(((-1)^j)*binomial(k+1, j)*(n+1-j)!, j=0..k+1) end: seq(A193464(n), n=1..22);

Crossrefs

Sequence in context: A369160 A243632 A196148 * A166990 A059578 A136574

Adjacent sequences: A193461 A193462 A193463 * A193465 A193466 A193467

Keyword

nonn,easy

Author

Johannes W. Meijer, Jul 27 2011

Status

approved