login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A163621 Square array read by antidiagonals: Write n and m in binary with n on the left. Concatenate. a(n,m) is the decimal equivalent of the result. 5
3, 5, 6, 7, 10, 7, 9, 14, 11, 12, 11, 18, 15, 20, 13, 13, 22, 19, 28, 21, 14, 15, 26, 23, 36, 29, 22, 15, 17, 30, 27, 44, 37, 30, 23, 24, 19, 34, 31, 52, 45, 38, 31, 40, 25, 21, 38, 35, 60, 53, 46, 39, 56, 41, 26, 23, 42, 39, 68, 61, 54, 47, 72, 57, 42, 27, 25, 46, 43, 76, 69 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Michael De Vlieger, Table of n, a(n) for n = 1..11325, (antidiagonals 1 <= n <= 150, flattened.)

EXAMPLE

Rows 1 through 5 written in binary (with a "|" between n and m written in binary):

1|1, 1|10, 1|11, 1|100, 1|101,...

10|1, 10|10, 10|11, 10|100, 10|101,...

11|1, 11|10, 11|11, 11|100, 11|101,...

100|1, 100|10, 100|11, 100|100, 100|101,...

101|1, 101|10, 101|11, 101|100, 101|101,...

Ignore the "|" in each binary number to get the binary equivalent of the terms in the table.

MAPLE

A163621 := proc(n, m) L := [op(convert(m, base, 2) ), op(convert(n, base, 2) ) ] ; add(op(i, L)*2^(i-1), i=1..nops(L)) ; end: seq(seq(A163621(d-m+1, m), m=1..d), d=1..17) ; # R. J. Mathar, Sep 27 2009

MATHEMATICA

Table[FromDigits[Join @@ IntegerDigits[{#, m}, 2], 2] &[k - m + 1], {k, 12}, {m, k}] // Flatten (* Michael De Vlieger, Dec 26 2019 *)

CROSSREFS

Sequence in context: A247454 A243912 A242883 * A124194 A055597 A053048

Adjacent sequences:  A163618 A163619 A163620 * A163622 A163623 A163624

KEYWORD

base,nonn,tabl

AUTHOR

Leroy Quet, Aug 01 2009

EXTENSIONS

Extended by R. J. Mathar, Sep 27 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 24 22:57 EST 2020. Contains 332216 sequences. (Running on oeis4.)