A073423 Sums of two powers of zero: triangle read by rows: T(m,n) = 0^n + 0^m, n >= 0, m = 0..n.

2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Mohammad K. Azarian, Remarks and Conjectures Regarding Combinatorics of Discrete Partial Functions, Int'l Math. Forum (2022) Vol. 17, No. 3, 129-141. See Conjecture 4.9, p. 138.

Example

T(2,1) = 0^2 + 0^0 = 1.
Triangle begins:
  2;
  1, 0;
  1, 0, 0;
  1, 0, 0, 0;
  1, 0, 0, 0, 0;
  1, 0, 0, 0, 0, 0;
  ...

Prog

(Python)
from math import isqrt
def A073423(n): return int((k:=n<<1)==(m:=isqrt(k))*(m+1)) if n else 2 # Chai Wah Wu, Nov 09 2024

Crossrefs

Cf. A023531, A010054, A073424.

Column k=0 gives A054977.

Sequence in context: A362422 A085252 A250214 * A219180 A179952 A321930

Adjacent sequences: A073420 A073421 A073422 * A073424 A073425 A073426

Keyword

easy,nonn,tabl

Author

Jeremy Gardiner, Jul 30 2002

Status

approved