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 A257505 Square array A(row,col): A(row,1) = A256450(row-1), and for col > 1, A(row,col) = A255411(A(row,col-1)); Dispersion of factorial base shift A255411. 15
 1, 4, 2, 18, 12, 3, 96, 72, 16, 5, 600, 480, 90, 22, 6, 4320, 3600, 576, 114, 48, 7, 35280, 30240, 4200, 696, 360, 52, 8, 322560, 282240, 34560, 4920, 2880, 378, 60, 9, 3265920, 2903040, 317520, 39600, 25200, 2976, 432, 64, 10, 36288000, 32659200, 3225600, 357840, 241920, 25800, 3360, 450, 66, 11, 439084800, 399168000, 35925120, 3588480, 2540160, 246240, 28800, 3456, 456, 70, 13 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The array is read by downward antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc. In Kimberling's terminology, this array is called the dispersion of sequence A255411 (when started from its first nonzero term, 4). The left column is the complement of that sequence, which is A256450. LINKS Antti Karttunen, Table of n, a(n) for n = 1..1275; the first 50 antidiagonals of array Clark Kimberling, Interspersions and Dispersions. Clark Kimberling, Interspersions and Dispersions, Proceedings of the American Mathematical Society, 117 (1993) 313-321. Index entries for sequences related to factorial base representation Index entries for sequences that are permutations of the natural numbers FORMULA A(row,1) = A256450(row-1), and for col > 1, A(row,col) = A255411(A(row,col-1)). EXAMPLE The top left corner of the array: 1, 4, 18, 96, 600, 4320, 35280, 322560, 3265920 2, 12, 72, 480, 3600, 30240, 282240, 2903040, 32659200 3, 16, 90, 576, 4200, 34560, 317520, 3225600, 35925120 5, 22, 114, 696, 4920, 39600, 357840, 3588480, 39553920 6, 48, 360, 2880, 25200, 241920, 2540160, 29030400, 359251200 7, 52, 378, 2976, 25800, 246240, 2575440, 29352960, 362517120 8, 60, 432, 3360, 28800, 272160, 2822400, 31933440, 391910400 9, 64, 450, 3456, 29400, 276480, 2857680, 32256000, 395176320 10, 66, 456, 3480, 29520, 277200, 2862720, 32296320, 395539200 11, 70, 474, 3576, 30120, 281520, 2898000, 32618880, 398805120 13, 76, 498, 3696, 30840, 286560, 2938320, 32981760, 402433920 14, 84, 552, 4080, 33840, 312480, 3185280, 35562240, 431827200 15, 88, 570, 4176, 34440, 316800, 3220560, 35884800, 435093120 17, 94, 594, 4296, 35160, 321840, 3260880, 36247680, 438721920 19, 100, 618, 4416, 35880, 326880, 3301200, 36610560, 442350720 20, 108, 672, 4800, 38880, 352800, 3548160, 39191040, 471744000 21, 112, 690, 4896, 39480, 357120, 3583440, 39513600, 475009920 23, 118, 714, 5016, 40200, 362160, 3623760, 39876480, 478638720 ... PROG (Scheme) (define (A257505 n) (A257505bi (A002260 n) (A004736 n))) (define (A257505bi row col) (if (= 1 col) (A256450 (- row 1)) (A255411 (A257505bi row (- col 1))))) CROSSREFS Transpose: A257503. Inverse permutation: A257506. Row index: A257681, Column index: A257679. Columns 1-3: A256450, A257692, A257693. Rows 1-3: A001563, A062119, A130744 (without their initial zero-terms). Row 4: A213167 (without the initial one). Row 5: A052571 (without initial zeros). Cf. A007623, A256450, A255411. Cf. also permutations A255565, A255566. Thematically similar arrays: A035513, A054582, A246279. Sequence in context: A302461 A303243 A074676 * A152883 A285793 A117692 Adjacent sequences: A257502 A257503 A257504 * A257506 A257507 A257508 KEYWORD nonn,base,tabl AUTHOR Antti Karttunen, Apr 27 2015 EXTENSIONS Formula changed because of the changed starting offset of A256450 - Antti Karttunen, May 30 2016 STATUS approved

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Last modified June 9 23:59 EDT 2023. Contains 363183 sequences. (Running on oeis4.)