A235610 - OEIS

A235610

Array read by antidiagonals: T(n,k) = number of possible positions in standard Connect Four play on a board of height n and width k (n>=1, k>=1).

2, 3, 5, 4, 18, 13, 5, 58, 116, 35, 6, 179, 869, 741, 96, 7, 537, 6000, 12031, 4688, 267, 8, 1571, 38310, 161029, 158911, 29737, 750, 9, 4587, 235781, 1706255, 3945711, 2087325, 189648, 2118

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..36.

John Tromp, John's Connect Four Playground, viewed Jan 23 2014.

EXAMPLE

The array as given on the Tromp web site:

height

------

8: 9 13343 8424616 1104642469

7: 8 4587 1417322 135385909 14171315454

6: 7 1571 235781 15835683 1044334437 69173028785 4531985219092

5: 6 537 38310 1706255 69763700 2818972642 112829665923

4: 5 179 6000 161029 3945711 94910577 2265792710 54233186631

3: 4 58 869 12031 158911 2087325 27441956 362940958

2: 3 18 116 741 4688 29737 189648 1216721

1: 2 5 13 35 96 267 750 2118

-------------------------------------------------------------------------------

-: 1 2 3 4 5 6 7 <- width

CROSSREFS

Cf. A212693, A090224, A013582, A235611, A235612.

Sequence in context: A095753 A139537 A111631 * A118141 A343767 A175210

Adjacent sequences: A235607 A235608 A235609 * A235611 A235612 A235613

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Jan 23 2014

STATUS

approved