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A037095 "Sloping binary representation" of powers of 3 (A000244), slope = -1. 5
1, 1, 3, 1, 3, 9, 11, 17, 19, 25, 123, 65, 195, 169, 171, 753, 435, 249, 2267, 4065, 8163, 841, 843, 31313, 29651 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..24.

FORMULA

a(n) := Sum(bit_n(A000244(n-i), i)*(2^i), i=0..(n-1)) [ bit_n := (x, n) -> `mod`(floor(x/(2^n)), 2); ]

EXAMPLE

When powers of 3 are written in binary (see A004656), under each other as:

000000000001 (1)

000000000011 (3)

000000001001 (9)

000000011011 (27)

000001010001 (81)

000011110011 (243)

001011011001 (729)

100010001011 (2187)

and one collects their bits from the column-0 to NW-direction (from the least to the most significant end), one gets 1 (1), 01 (1), 011 (3), 0001 (1), 00011 (3), 001001 (9), etc. (See A105033 for similar transformation done on nonnegative integers).

CROSSREFS

Cf. A105033, A000244, A037093-A037094, A037096-A037097.

Sequence in context: A265307 A133579 A088442 * A160654 A146436 A058842

Adjacent sequences:  A037092 A037093 A037094 * A037096 A037097 A037098

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Jan 28 1999. Entry revised Dec 29 2007.

STATUS

approved

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Last modified February 21 19:50 EST 2018. Contains 299423 sequences. (Running on oeis4.)