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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
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 * A359147 A163714 A333910
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Oct 31 2004
EXTENSIONS
Edited and extended by Ray Chandler, Apr 18 2009
STATUS
approved

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Last modified March 28 14:13 EDT 2024. Contains 371254 sequences. (Running on oeis4.)