

A055992


n written efficiently in natural numbers base, i.e., in form ...wxyz where n =1*z + 2*y + 3*x + 4*w + ... with z < 1, y < 2, x < 3, w < 4, ...


1



10, 100, 1000, 110, 200, 1100, 210, 1110, 1200, 2100, 1210, 2110, 2200, 3100, 2210, 3110, 3200, 12200, 3210, 12210, 13110, 13200, 22200, 13210, 22210, 23110, 23200, 32200, 23210, 32210, 33110, 33200, 42200, 33210, 42210, 43110, 43200, 133200
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OFFSET

2,1


LINKS



EXAMPLE

a(9)=1110 since 9 = 4*1 + 3*1 + 2*1 + 1*0 and alternatives such as 100000000 or 11000 are less efficient (while 211 is prohibited because the final digit is too big).


CROSSREFS

Cf. A055611 for a slightly different definition.


KEYWORD

base,nonn


AUTHOR



STATUS

approved



