A271589 - OEIS

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

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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