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A085484 Symmetric square table, read by antidiagonals, such that the main diagonal is equal to the first row shift left: T(0,0)=1, T(0,k) = sum(m=0,k-1, C(k-1,m)*T(m,k-1-m)) when k>0; and T(n,k) = T(n-1,k) + T(n,k-1) when n>0, k>0. 2
1, 1, 1, 2, 2, 2, 8, 4, 4, 8, 40, 12, 8, 12, 40, 224, 52, 30, 30, 52, 224, 1368, 276, 72, 40, 72, 276, 1368, 9008, 1644, 348, 112, 112, 348, 1644, 9008, 63488, 10652, 1992, 460, 224, 460, 1992, 10652, 63488, 476160, 74140, 12644, 2452, 684, 684, 2452, 12644 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Antidiagonal sums give A085486. First row is A085485; table is symmetric under transpose, so that first column equals the first row. Second row gives partial sums of first row.

LINKS

Table of n, a(n) for n=0..52.

EXAMPLE

Rows begin:

....1 ....1 ....2 .....8 ....40 ...224 ..1368 ..9008 ...

....1 ....2 ....4 ....12 ....52 ...276 ..1644 .10652 ...

....2 ....4 ....8 ....20 ....72 ...348 ..1992 .12644 ...

....8 ...12 ...20 ....40 ...112 ...460 ..2452 .15096 ...

...40 ...52 ...72 ...112 ...224 ...684 ..3136 .18232 ...

..224 ..276 ..348 ...460 ...684 ..1368 ..4504 .22736 ...

.1368 .1644 .1992 ..2452 ..3136 ..4504 ..9008 .31744 ...

.9008 10652 12644 .15096 .18232 .22736 .31744 .63488 ...

63488 74140 86784 101880 120112 142848 174592 238080 ...

CROSSREFS

Cf. A085485 (first row and diagonal), A085486 (antidiagonal sums).

Sequence in context: A321026 A240284 A011202 * A326480 A116585 A230935

Adjacent sequences:  A085481 A085482 A085483 * A085485 A085486 A085487

KEYWORD

nonn,tabl

AUTHOR

Paul D. Hanna, Jul 02 2003

STATUS

approved

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Last modified December 12 20:12 EST 2019. Contains 329961 sequences. (Running on oeis4.)