A271589 Array read by antidiagonals: column k lists the 2-Stöhr sequence composed of terms rejected from column k-1.

1, 3, 2, 8, 5, 4, 17, 9, 6, 7, 44, 20, 11, 12, 10, 125, 47, 24, 15, 14, 13, 368, 128, 51, 26, 18, 21, 16, 1097, 371, 132, 53, 27, 35, 23, 19, 3284, 1100, 375, 134, 56, 29, 36, 30, 22, 9845, 3287, 1104, 377, 137, 60, 33, 38, 32, 25, 29528, 9848, 3291, 1106

Offset

1,2

Comments

The first column of this array is the sequence that rejects the sum of any previous pair of terms (the 2-Stöhr sequence A033627). The second column takes the remaining numbers and rejects the sums of pairs of its previous terms, etc.

The first column consists of all numbers equivalent to 1 mod 3, and also 2. The second column consists of all numbers equivalent to 3 mod 9 and 5 mod 9, and also 6. The k-th column includes 3^k, 2*3^k, and 4*3^k, and in general every term in the (k-1)-th column multiplied by 3.

Links

Max Barrentine, Table of n, a(n) for n = 1..2080

Eric Weisstein's World of Mathematics, Stöhr Sequence

Example

From the top-left corner, this array starts:
1    3    8   17   44   125
2    5    9   20   47   128
4    6   11   24   51   132
7   12   15   26   53   134
10  14   18   27   56   137
13  21   35   29   60   141

Crossrefs

Cf. A033627.

Sequence in context: A127541 A053219 A173030 * A083087 A191724 A191433

Adjacent sequences: A271586 A271587 A271588 * A271590 A271591 A271592

Keyword

nonn,tabl

Author

Max Barrentine, Apr 10 2016

Status

approved