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A062323 Triangle with a(n,n)=1, a(n,k)=(n-1)*a(n-1,k)+a(n-2,k) for n>k. 2
1, 0, 1, 1, 1, 1, 2, 3, 2, 1, 7, 10, 7, 3, 1, 30, 43, 30, 13, 4, 1, 157, 225, 157, 68, 21, 5, 1, 972, 1393, 972, 421, 130, 31, 6, 1, 6961, 9976, 6961, 3015, 931, 222, 43, 7, 1, 56660, 81201, 56660, 24541, 7578, 1807, 350, 57, 8, 1, 516901, 740785, 516901, 223884 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Reinhard Zumkeller, Rows n = 0..120 of triangle, flattened

FORMULA

a(n, k)=k*a(n, k+1)+a(n, k+2) for n>k.

PROG

(Haskell)

a062323 n k = a062323_tabl !! n !! k

a062323_row n = a062323_tabl !! n

a062323_tabl = map fst $ iterate f ([1], [0, 1]) where

   f (us, vs) = (vs, ws) where

     ws = (zipWith (+) (us ++ [0]) (map (* v) vs)) ++ [1]

          where v = last (init vs) + 1

-- Reinhard Zumkeller, Mar 05 2013

CROSSREFS

Essentially the same as A058294, but more easy seen as a triangle. Columns include A001040, A001053, A058307, A058308, A058309. Other sequences appearing on the right hand side include A000012, A001477, A002061, A034262.

Sequence in context: A167772 A077870 A294408 * A291087 A020858 A090664

Adjacent sequences:  A062320 A062321 A062322 * A062324 A062325 A062326

KEYWORD

nonn,tabl

AUTHOR

Henry Bottomley, Jul 05 2001

STATUS

approved

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Last modified January 17 16:17 EST 2018. Contains 297822 sequences.