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A193464 Row sums of triangle A076731. 4
0, 2, 7, 30, 146, 852, 5823, 45740, 405844, 4012710, 43733975, 520795002, 6726601062, 93651619880, 1398047697151, 22275111534552, 377278848390248, 6768744159489930, 128228860181918439, 2557808459478878870, 53585748788874537850, 1176328664895760953852 (list; graph; refs; listen; history; text; internal format)
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: A187979 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

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Last modified May 11 12:47 EDT 2021. Contains 343791 sequences. (Running on oeis4.)