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%I #6 Dec 10 2020 20:39:49
%S 1,0,0,4,0,0,16,0,0,64,0,0,256,0,0,1024,0,0,4096,0,0,16384,0,0,65536,
%T 0,0,262144,0,0,1048576,0,0,4194304,0,0,16777216,0,0,67108864,0,0,
%U 268435456,0,0,1073741824,0,0,4294967296,0,0,17179869184,0,0
%N Sloping binary representation of powers of 4 (A000302), slope = -1 .
%F a(3n) = A000302(n), a(3n+1) = a(3n+2) = 0. - _Alois P. Heinz_, Dec 10 2020
%e When powers of 4 are written in binary (see A098608), under each other as:
%e 0000000000001 (1)
%e 0000000000100 (4)
%e 0000000010000 (16)
%e 0000001000000 (64)
%e 0000100000000 (256)
%e 0010000000000 (1024)
%e 1000000000000 (4096)
%e and one collects their bits from the column=0 to NW-direction (from the least to the most significant end), one gets 1 (1), 00 (0), 000 (0), 0100 (4), 00000 (0), 000000 (0), 0010000 (16), etc. (see 0105033 for similar transformation done on nonnegative integers)
%Y Cf. A037095, A077957, A105033, A000302, A098608, A102370(sloping binary numbers).
%K base,nonn
%O 0,4
%A _Philippe Deléham_, Jan 06 2008
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