

A347570


Table read by antidiagonals upward: the nth row gives the lexicographically earliest infinite B_n sequence.


0



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, 32, 56, 72, 31, 8, 1, 2, 9, 44, 109, 154, 125, 45, 9, 1, 2, 10, 58, 155, 367, 369, 219, 66, 10, 1, 2, 11, 74, 257, 669, 927, 857, 376, 81, 11
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OFFSET

1,3


COMMENTS

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.


LINKS

Table of n, a(n) for n=1..66.
Eric Weisstein's World of Mathematics, B2 Sequence.


EXAMPLE

Table begins:
n\k  1 2 3 4 5 6 7 8
+
1  1, 2, 3, 4, 5, 6, 7, 8, ...
2  1, 2, 4, 8, 13, 21, 31, 45, ...
3  1, 2, 5, 14, 33, 72, 125, 219, ...
4  1, 2, 6, 22, 56, 154, 369, 857, ...
5  1, 2, 7, 32, 109, 367, 927, 2287, ...
6  1, 2, 8, 44, 155, 669, 2215, 6877, ...
7  1, 2, 9, 58, 257, 1154, 4182, 14181, ...
8  1, 2, 10, 74, 334, 1823, 8044, 28297, ...


CROSSREFS

Cf. A005282 (n=2), A096772 (n=3).
Sequence in context: A216274 A145111 A104795 * A116925 A309010 A308500
Adjacent sequences: A347567 A347568 A347569 * A347571 A347572 A347573


KEYWORD

nonn,tabl


AUTHOR

Peter Kagey, Sep 06 2021


STATUS

approved



