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A102472 Triangle read by rows. Let S(k) be the sequence defined by F(0)=0, F(1)=1, F(n-1) + (n+k)*F(n) = F(n+1). E.g. S(0) = 0, 1, 1, 3, 10, 43, 225, 1393, 9976, 81201, ... Then S(0), S(1), S(2), ... are written vertically, next to each other, with the initial term of each on the next row down. 5
1, 1, 1, 3, 2, 1, 10, 7, 3, 1, 43, 30, 13, 4, 1, 225, 157, 68, 21, 5, 1, 1393, 972, 421, 130, 31, 6, 1, 9976, 6961, 3015, 931, 222, 43, 7, 1, 81201, 56660, 24541, 7578, 1807, 350, 57, 8, 1, 740785, 516901, 223884, 69133, 16485, 3193, 520, 73, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

T(n,1) = A001040(n); T(n,k) = A058294(n,n+k-1), k = 1..n. - Reinhard Zumkeller, Sep 14 2014

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..7875

EXAMPLE

Triangle begins (ignore the dots)

.0

.1 .0

.1 .1. 0

.3 .2. 1 0

10 .7. 3 1 0

43 30 13 4 1 0

...

(the zeros are then omitted)

PROG

(Haskell)

a102472 n k = a102472_tabl !! (n-1) !! (k-1)

a102472_row n = a102472_tabl !! (n-1)

a102472_tabl = map reverse a102473_tabl

-- Reinhard Zumkeller, Sep 14 2014

CROSSREFS

Mirror image of triangle in A102473.

Cf. A001040, A058294, A247365 (central terms).

Sequence in context: A307214 A185967 A188111 * A267629 A101894 A187105

Adjacent sequences:  A102469 A102470 A102471 * A102473 A102474 A102475

KEYWORD

easy,nonn,tabl

AUTHOR

Russell Walsmith, Jan 09 2005

EXTENSIONS

Entry revised by N. J. A. Sloane, Jul 09 2005

STATUS

approved

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Last modified April 22 14:52 EDT 2019. Contains 322356 sequences. (Running on oeis4.)