A358349 - OEIS

%I #11 Dec 03 2022 05:54:29

%S 1,2,1,3,3,1,4,9,4,1,5,21,31,5,1,6,41,220,129,6,1,7,71,1081,6949,651,

%T 7,1,8,113,3992,244769,897072,3913,8,1,9,169,12015,4560121,1701796853,

%U 583997785,27399,9,1,10,241,31112,52524001,1117878053902,1526634890512201

%N A puzzle array read by antidiagonals.

%D Ben Hamilton, Brainteasers and Mindbenders, Fireside, 1992, p. 51.

%H Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a358/A358349.java">Java program</a> (github)

%F T(1,m) = m, T(n,1) = 1, T(n,m) = T(n-1,m-1) * T(n-1,m) + T(n,m-1).

%e Original puzzle ("May 5" in Hamilton):

%e   1,  2,   3,    4,    5;

%e   1,  3,   9,   21,   41;

%e   1,  4,  31,  220, 1081;

%e   1,  5, 129, 6949,    ?.

%K nonn,easy,tabl

%O 1,2

%A _Sean A. Irvine_, Dec 02 2022