A358349 A puzzle array read by antidiagonals.

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, 7, 1, 8, 113, 3992, 244769, 897072, 3913, 8, 1, 9, 169, 12015, 4560121, 1701796853, 583997785, 27399, 9, 1, 10, 241, 31112, 52524001, 1117878053902, 1526634890512201

Offset

1,2

References

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

Links

Table of n, a(n) for n=1..51.

Sean A. Irvine, Java program (github)

Formula

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

Example

Original puzzle ("May 5" in Hamilton):
  1,  2,   3,    4,    5;
  1,  3,   9,   21,   41;
  1,  4,  31,  220, 1081;
  1,  5, 129, 6949,    ?.

Crossrefs

Sequence in context: A179943 A089944 A180165 * A142249 A274705 A257243

Adjacent sequences: A358346 A358347 A358348 * A358350 A358351 A358352

Keyword

nonn,easy,tabl

Author

Sean A. Irvine, Dec 02 2022

Status

approved