A268931 Square array: A(i,j) = F(A065091(i),A065091(j)), where F(a,b) is the dyadic function defined in A269158. Array is read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ...

3, 3, 2, 3, 5, 0, 1, 2, 7, 2, 1, 1, 7, 0, 0, 3, 6, 3, 0, 3, 2, 3, 6, 2, 11, 7, 7, 0, 1, 1, 2, 7, 14, 3, 0, 2, 3, 6, 1, 14, 13, 15, 2, 3, 2, 3, 5, 3, 13, 1, 0, 14, 4, 0, 0, 1, 5, 5, 3, 11, 17, 10, 0, 0, 0, 0, 3, 2, 4, 10, 8, 8, 25, 13, 3, 3, 7, 2, 3, 1, 1, 15, 12, 11, 19, 26, 1, 4, 4, 0, 0, 1, 2, 6, 1, 11, 18, 19, 0, 3, 6, 0, 7, 3, 2

Offset

1,1

Links

Antti Karttunen, Table of n, a(n) for n = 1..9591; the first 138 antidiagonals of the array

Formula

A(i,j) = F(A065091(i),A065091(j)) = A269158(A065091(i),A006254(j)), function F defined as in A269158.

Example

The top left [1 .. 19] x [1 .. 19] section of the array:
3, 3, 3,  1,  1,  3,  3,  1,  3,  3,  1,  3,  3,  1,  3,  1,  1,  3,  1
2, 5, 2,  1,  6,  6,  1,  6,  5,  5,  2,  1,  2,  2,  6,  1,  5,  6,  5
0, 7, 7,  3,  2,  2,  1,  3,  5,  4,  1,  6,  3,  5,  5,  0,  7,  3,  7
2, 0, 0, 11,  7, 14, 13,  3, 10, 15,  1,  7,  4, 10,  5, 11,  6,  3,  2
0, 3, 7, 14, 13,  1, 11,  8, 12, 11,  2,  2,  9,  6,  5, 11,  4, 10, 15
2, 7, 3, 15,  0, 17,  8, 11, 18, 10,  2,  3, 13,  0,  8,  8, 14,  1,  2
0, 0, 2, 14, 10, 25, 19, 19, 10, 16, 26,  2,  2,  2, 18,  9, 17, 24, 24
2, 3, 4,  0, 13, 26,  0, 23,  8, 11, 26, 29,  5,  7, 22, 27, 26,  9, 27
2, 0, 0,  3,  1,  3, 27, 29, 29, 14, 22, 10, 31, 26,  5, 25, 30,  5,  9
0, 0, 3,  4,  6, 27,  3, 28, 19, 31, 22, 28,  8, 15, 10, 31,  2,  6, 14
0, 7, 4,  0,  7,  3, 27, 31, 19, 19, 37, 33, 23, 16, 37, 23, 19, 52, 48
2, 0, 7, 14, 11,  2,  3, 28,  3, 21,  0, 41, 20, 23, 34, 28, 40, 62, 62
0, 3, 0, 15,  0, 12,  1,  6, 22,  3, 54, 61, 43, 43, 29, 43, 27, 62,  0
2, 7, 2,  1, 11,  1,  1,  0, 23,  0, 53, 62,  0, 47, 28, 42, 16,  1, 62
2, 3, 0,  4,  0, 25,  3,  3, 16, 31,  0,  3, 60, 57, 53, 29, 26, 43, 38
2, 0, 3,  0,  2, 25, 26,  8,  0,  4, 54, 53,  0,  1, 44, 59, 31, 37,  2
0, 0, 2, 15,  9, 31,  0, 15,  3, 31, 54,  1, 50, 61, 47, 38, 61, 35, 35
0, 7, 0,  0, 11,  0, 27, 10,  4,  5, 53, 63, 61,  2, 42, 38, 34, 67, 67
2, 0, 0,  1, 10,  3, 27, 28, 12,  9, 53, 63,  3, 57, 35,  1, 38,  0, 71

Prog

(Scheme) (define (A268931 n) (A269158auxbi (A065091 (A002260 n)) (A065091 (A004736 n)))) ;; Code for A269158auxbi given in A269158.

Crossrefs

Transpose: A268932.

Cf. A065091 (the main diagonal).

Cf. A006254, A269158.

Sequence in context: A240088 A261735 A129309 * A360206 A003560 A262212

Adjacent sequences: A268928 A268929 A268930 * A268932 A268933 A268934

Keyword

nonn,tabl

Author

Antti Karttunen, Feb 19 2016

Status

approved