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 A347570 Table read by antidiagonals upward: the n-th row gives the lexicographically earliest infinite B_n sequence. 0

%I

%S 1,1,2,1,2,3,1,2,4,4,1,2,5,8,5,1,2,6,14,13,6,1,2,7,22,33,21,7,1,2,8,

%T 32,56,72,31,8,1,2,9,44,109,154,125,45,9,1,2,10,58,155,367,369,219,66,

%U 10,1,2,11,74,257,669,927,857,376,81,11

%N Table read by antidiagonals upward: the n-th row gives the lexicographically earliest infinite B_n sequence.

%C A B_n sequence is a sequence such that all sums a(x_1) + a(x_2) + ... + a(x_n) are distinct for 1 <= x_1 <= x_2 <= ... <= x_n.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/B2-Sequence.html">B2 Sequence</a>.

%e Table begins:

%e n\k | 1 2 3 4 5 6 7 8

%e ----+------------------------------------------

%e 1 | 1, 2, 3, 4, 5, 6, 7, 8, ...

%e 2 | 1, 2, 4, 8, 13, 21, 31, 45, ...

%e 3 | 1, 2, 5, 14, 33, 72, 125, 219, ...

%e 4 | 1, 2, 6, 22, 56, 154, 369, 857, ...

%e 5 | 1, 2, 7, 32, 109, 367, 927, 2287, ...

%e 6 | 1, 2, 8, 44, 155, 669, 2215, 6877, ...

%e 7 | 1, 2, 9, 58, 257, 1154, 4182, 14181, ...

%e 8 | 1, 2, 10, 74, 334, 1823, 8044, 28297, ...

%Y Cf. A005282 (n=2), A096772 (n=3).

%K nonn,tabl

%O 1,3

%A _Peter Kagey_, Sep 06 2021

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Last modified January 29 13:51 EST 2023. Contains 359923 sequences. (Running on oeis4.)