A298433 a(n) is the number of tight n X n pavings (defined in A285357).

1, 4, 64, 2072, 106738, 7743880, 735490024, 87138728592

Offset

1,2

Links

Table of n, a(n) for n=1..8.

D. E. Knuth (Proposer), Tight m-by-n pavings; Problem 12005, Amer. Math. Monthly 124 (No. 8, Oct. 2017), page 755.

D. E. Knuth, A conjecture that had to be true, Stanford Lecture: Don Knuth's Christmas Tree Lecture 2017.

Formula

a(n) = A285357(n,n).

Crossrefs

Cf. A000295, A285357, A285361, A298362.

Sequence in context: A181398 A326274 A081559 * A261042 A002454 A013043

Adjacent sequences: A298430 A298431 A298432 * A298434 A298435 A298436

Keyword

nonn,more

Author

Peter Luschny, Jan 19 2018

Extensions

a(6) from Hugo Pfoertner, Jan 19 2018

a(7) from Denis Roegel, Feb 23 2018

a(8) from Denis Roegel, Feb 24 2018

Status

approved