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A199400 Triangle T(n,k), read by rows, given by (2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...) DELTA (2,1,3,2,4,3,5,4,6,5,7,6,8,7,9,...) where DELTA is the operator defined in A084938. 2
1, 2, 2, 4, 10, 6, 8, 38, 54, 24, 16, 130, 330, 336, 120, 32, 422, 1710, 3000, 2400, 720, 64, 1330, 8106, 21840, 29400, 19440, 5040, 128, 4118, 36414, 141624, 285600, 312480, 176400, 40320, 256, 12610, 158010, 853776, 2421720, 3900960, 3598560, 1774080, 362880 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Variant of A162508.

LINKS

Table of n, a(n) for n=0..44.

FORMULA

T(n,k)=(k+1)!*A143494(n+2,k+2)

T(n,k)=(k+1)*T(n-1,k-1)+(k+2)*T(n-1,k).

Sum_{k, 0<=k<=n} T(n,k)=A162509(n+1).

T(n,n)=(n+1)!=A000142(n+1)

T(n,0)=2^n=A000079(n).

EXAMPLE

Triangle begins :

1

2, 2

4, 10, 6

8, 38, 54, 24

16, 130, 330, 336, 120

32, 422, 1710, 3000, 2400, 720

CROSSREFS

Cf. A084938, A143494, A162508, A162509,

Sequence in context: A059473 A240629 A162508 * A056919 A052175 A102623

Adjacent sequences:  A199397 A199398 A199399 * A199401 A199402 A199403

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Nov 05 2011

STATUS

approved

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Last modified January 19 21:35 EST 2018. Contains 297938 sequences.