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a()=A037260 and its first [ A037261 ], 2nd [ A037262 ] and 3rd [ A037263 ] differences together include every number at most once and are monotonic and minimal.
5

%I #8 Jul 10 2015 22:48:20

%S 1,3,9,26,62,127,233,393,621,932,1342,1869,2533,3355,4357,5562,6994,

%T 8678,10641,12911,15518,18493,21868,25676,29951,34728,40044,45937,

%U 52446,59611,67474,76078,85467,95686,106781,118799,131788,145797

%N a()=A037260 and its first [ A037261 ], 2nd [ A037262 ] and 3rd [ A037263 ] differences together include every number at most once and are monotonic and minimal.

%C 5 is the only number less than 100 not used in any of the 4 sequences - Larry Reeves (larryr(AT)acm.org), Sep 25 2000

%e After 1 3 9 26 62

%e ------ 2 6 17 36

%e ------- 4 11 19

%e -------- 7 8

%e the next free number is 10 which we CAN add to 4th row.

%Y A037260-A037263 are 4-rowed analog of A037257-A037259. See A005228, A030124 for 2-rowed version.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

%E More terms from Larry Reeves (larryr(AT)acm.org), Sep 25 2000