A276942 Square array A(row,col): A(row,1) = A276937(row), and for col > 1, A(row,col) = A003961(A(row,col-1)), read by descending antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.

2, 3, 6, 5, 15, 9, 7, 35, 25, 10, 11, 77, 49, 21, 14, 13, 143, 121, 55, 33, 18, 17, 221, 169, 91, 65, 75, 22, 19, 323, 289, 187, 119, 245, 39, 26, 23, 437, 361, 247, 209, 847, 85, 51, 30, 29, 667, 529, 391, 299, 1859, 133, 95, 105, 34, 31, 899, 841, 551, 493, 3757, 253, 161, 385, 57, 38, 37, 1147, 961, 713, 589, 6137, 377, 319, 1001, 115, 69, 42

Offset

2,1

Comments

The starting offset is 2 because 1 is not included in the array proper. With it the terms are a permutation of A276078.

All terms on each row have the same prime signature.

Links

Antti Karttunen, Table of n, a(n) for n = 2..631; the first 35 antidiagonals of array

Formula

A(row,1) = A276937(row); for col > 1, A(row,col) = A003961(A(row,col-1)).

Example

The top left corner of the array:
   2,  3,  5,   7,  11,  13,  17,  19,  23,   29,   31,   37,   41,   43
   6, 15, 35,  77, 143, 221, 323, 437, 667,  899, 1147, 1517, 1763, 2021
   9, 25, 49, 121, 169, 289, 361, 529, 841,  961, 1369, 1681, 1849, 2209
  10, 21, 55,  91, 187, 247, 391, 551, 713, 1073, 1271, 1591, 1927, 2279
  14, 33, 65, 119, 209, 299, 493, 589, 851, 1189, 1333, 1739, 2173, 2537

Prog

(Scheme)
(define (A276942 n) (A276941bi (A004736 (- n 1)) (A002260 (- n 1)))) ;; Code for A276941bi given in A276941.

Crossrefs

Transpose: A276941.

Leftmost column: A276937, second column: A276938.

Rows from the top: A000040, A006094, A001248 (from 9 onward), A090076, A090090.

Cf. A003961.

Cf. A276078 (sorted into ascending order).

Cf. also A276075, A276955.

Sequence in context: A071257 A067392 A066449 * A255483 A358170 A098012

Adjacent sequences: A276939 A276940 A276941 * A276943 A276944 A276945

Keyword

nonn,tabl

Author

Antti Karttunen, Sep 25 2016

Status

approved