The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A255975 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A255975

Rectangular array T(i,j) read by downwards antidiagonals: an interspersion associated with the fractal sequence A022328.
(history; published version)

#12 by OEIS Server at Fri Mar 27 09:01:00 EDT 2015

LINKS

Clark Kimberling, <a href="/A255975/b255975_1.txt">Antidiagonals n = 1..60, flattened </a>

#11 by N. J. A. Sloane at Fri Mar 27 09:01:00 EDT 2015

STATUS

editing

approved

Discussion

Fri Mar 27

09:01

OEIS Server: Installed new b-file as b255975.txt.  Old b-file is now b255975_1.txt.

#10 by N. J. A. Sloane at Fri Mar 27 09:00:56 EDT 2015

NAME

Rectangular array T(i,j) read by downwards antidiagonals: an interspersion associated with the fractal sequence A022328.

STATUS

proposed

editing

#9 by Jon E. Schoenfield at Fri Mar 20 01:32:57 EDT 2015

STATUS

editing

proposed

Discussion

Fri Mar 20

08:43

Clark Kimberling: Yes.

#8 by Jon E. Schoenfield at Fri Mar 20 01:32:47 EDT 2015

NAME

Rectangular array T(i,j): an interspersion associated with the fractal sequence A022328.

COMMENTS

T(i,j) is the position of 2^i in the increasing sequence of the numbers 2^i*3^j, for i >= 0 and j >= 0; or equivalently, in the signature sequence of log(3)/log(2). A255975 is not equal to A051037; e.g. , row 1 of A255975 includes 49, unlike A051037.

EXAMPLE

The fractal sequence A022328 starts with 0, 1, 0, 2, 1, 3, 0, 2, 4, 1, 3, 0, 5, 2, 4, 1, 6, 3; , , ..., with 0 in positions 1, 3, 7, 12, ... as in row 1 of T; with 1 in positions 2, 5, 10, ... as in row 2; etc.

MATHEMATICA

TableForm[Table[v[[n, k]], {n, 1, 8}, {k, 1, 7}]] (* A255975 array *)

Flatten[Table[v[[k, n - k + 1]], {n, 1, 16}, {k, 1, n}]] (* A255975 sequence *)

STATUS

proposed

editing

Discussion

Fri Mar 20

01:32

Jon E. Schoenfield: Clark -- are these changes okay with you?

#7 by Michel Marcus at Thu Mar 19 11:18:26 EDT 2015

STATUS

editing

proposed

#6 by Michel Marcus at Thu Mar 19 11:18:21 EDT 2015

CROSSREFS

Cf. A022428.

STATUS

proposed

editing

#5 by Clark Kimberling at Thu Mar 19 11:00:24 EDT 2015

STATUS

editing

proposed

#4 by Clark Kimberling at Thu Mar 19 11:00:12 EDT 2015

LINKS

Clark Kimberling, <a href="/A255975/b255975_1.txt">Table of n, a(n) for Antidiagonals n = 1..183060, flattened </a>

STATUS

proposed

editing

#3 by Clark Kimberling at Thu Mar 19 10:58:05 EDT 2015

STATUS

editing

proposed