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!)
A100056 Sum of absolute differences of p(n) defined in A054065. 1
1, 3, 7, 10, 16, 22, 27, 37, 47, 57, 67, 75, 91, 107, 123, 139, 155, 171, 187, 200, 226, 252, 278, 304, 330, 356, 382, 408, 434, 460, 486, 512, 533, 575, 617, 659, 701, 743, 785, 827, 869, 911, 953, 995, 1037, 1079, 1121, 1163, 1205, 1247, 1289, 1331, 1373 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

Conjecture: a(n) provides the maximum sum of difference terms of any permutation of 1 through n. A054065 (or reversals) give the optimal permutations and a(n) gives the sum.

LINKS

Table of n, a(n) for n=2..54.

FORMULA

a(n) = sum, (abs. values) of difference row of p(n), A054065.

EXAMPLE

a(4) = 7 since p(4) of A054065 = 2 4 1 3. Finite difference row (abs. values) of p(4) = 2 3 2; sum = 7.

CROSSREFS

Cf. A100057, clock-oriented analogous sequence.

Sequence in context: A151733 A088636 A114113 * A163714 A307191 A234638

Adjacent sequences:  A100053 A100054 A100055 * A100057 A100058 A100059

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Oct 31 2004

EXTENSIONS

Edited and extended by Ray Chandler, Apr 18 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 April 5 21:19 EDT 2020. Contains 333260 sequences. (Running on oeis4.)