A327490 T(n, k) = 1 + IFF(k - 1, n - k), where IFF is Boolean equality evaluated bitwise on the inputs, triangle read by rows, T(n, k) for n >= 1, 1 <= k <= n.

1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 4, 2, 4, 2, 4, 3, 3, 3, 3, 3, 3, 2, 4, 2, 4, 2, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 8, 2, 4, 2, 8, 2, 4, 2, 8, 7, 7, 3, 3, 7, 7, 3, 3, 7, 7, 6, 8, 6, 4, 6, 8, 6, 4, 6, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5

Offset

1,4

Comments

If row(n) has, seen as a set, only one element k then k is either 1 or 1 + 2^n and n has the form 2^n or 3*2^n.

Links

Table of n, a(n) for n=1..78.

Example

                               1
                              1, 1
                            2, 2, 2
                           1, 1, 1, 1
                         4, 2, 4, 2, 4
                        3, 3, 3, 3, 3, 3
                      2, 4, 2, 4, 2, 4, 2
                     1, 1, 1, 1, 1, 1, 1, 1
                   8, 2, 4, 2, 8, 2, 4, 2, 8
                  7, 7, 3, 3, 7, 7, 3, 3, 7, 7
                6, 8, 6, 4, 6, 8, 6, 4, 6, 8, 6
               5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5

Maple

A327490 := (n, k) -> 1 + Bits:-Iff(k-1, n-k):
seq(seq(A327490(n, k), k=1..n), n=1..12);

Crossrefs

Cf. A327488 (Nand), A327489 (Nor), A280172 (Xor).

Sequence in context: A309797 A199840 A126067 * A346529 A238408 A048858

Adjacent sequences: A327487 A327488 A327489 * A327491 A327492 A327493

Keyword

nonn,tabl

Author

Peter Luschny, Sep 22 2019

Status

approved