login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A186347 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) before g(j) when f(i)=g(j), where f(i)=8i and g(j)=j^2.  Complement of A186346. 4
1, 2, 4, 6, 8, 10, 13, 16, 19, 22, 26, 30, 34, 38, 43, 48, 53, 58, 64, 70, 76, 82, 89, 96, 103, 110, 118, 126, 134, 142, 151, 160, 169, 178, 188, 198, 208, 218, 229, 240, 251, 262, 274, 286, 298, 310, 323, 336, 349, 362, 376, 390, 404, 418, 433, 448, 463, 478, 494, 510, 526, 542, 559, 576, 593, 610, 628, 646, 664, 682, 701, 720, 739, 758, 778, 798, 818, 838, 859, 880, 901, 922, 944, 966, 988, 1010 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..86.

FORMULA

a(n)=n+floor(sqrt(8n-1/2))=A186346(n).

b(n)=n+floor((n^2+1/2)/8)=A186347(n).

EXAMPLE

First, write

....8....16..24..32..40..48..56..64..72..80.. (8i)

1..4..9..16...25...36......49....64.......81 (squares)

Then replace each number by its rank, where ties are settled by ranking 8i before the square:

a=(3,5,7,9,11,12,14,15,17,..)=A186346

b=(1,2,4,6,8,10,13,16,19,...)=A186347.

MATHEMATICA

(See A186346.)

CROSSREFS

Cf. A186346, A186348, A186349.

Sequence in context: A025224 A294023 A096182 * A302648 A269746 A056827

Adjacent sequences:  A186344 A186345 A186346 * A186348 A186349 A186350

KEYWORD

nonn

AUTHOR

Clark Kimberling, Feb 20 2011

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 May 20 20:16 EDT 2019. Contains 323426 sequences. (Running on oeis4.)