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 A276953 Square array A(row,col) read by antidiagonals: A(1,col) = A273670(col-1), and for row > 1, A(row,col) = A153880(A(row-1,col)); Dispersion of factorial base shift A153880 (array transposed). 10
 1, 3, 2, 4, 8, 6, 5, 12, 30, 24, 7, 14, 48, 144, 120, 9, 26, 54, 240, 840, 720, 10, 32, 126, 264, 1440, 5760, 5040, 11, 36, 150, 744, 1560, 10080, 45360, 40320, 13, 38, 168, 864, 5160, 10800, 80640, 403200, 362880, 15, 50, 174, 960, 5880, 41040, 85680, 725760, 3991680, 3628800, 16, 56, 246, 984, 6480, 46080, 367920, 766080, 7257600, 43545600, 39916800 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The array A(row,col) is read by descending antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc. Entries on row n are all multiples of n!. Dividing that factor out gives another array A276616. LINKS FORMULA A(1,col) = A273670(col-1), and for row > 1, A(row,col) = A153880(A(row-1,col)) As a composition of other permutations: a(n) = A275848(A257503(n)). Other identities. For all n >= 1: A(A276949(n),A276951(n)) = n. EXAMPLE The top left corner of the array:     1,    3,     4,     5,     7,     9,    10,    11,    13,    15,    16     2,    8,    12,    14,    26,    32,    36,    38,    50,    56,    60     6,   30,    48,    54,   126,   150,   168,   174,   246,   270,   288    24,  144,   240,   264,   744,   864,   960,   984,  1464,  1584,  1680   120,  840,  1440,  1560,  5160,  5880,  6480,  6600, 10200, 10920, 11520   720, 5760, 10080, 10800, 41040, 46080, 50400, 51120, 81360, 86400, 90720 PROG (Scheme) (define (A276953 n) (A276953bi (A002260 n) (A004736 n))) (define (A276953bi row col) (if (= 1 row) (A273670 (- col 1)) (A153880 (A276953bi (- row 1) col)))) CROSSREFS Inverse permutation: A276954. Transpose: A276955. Cf. A276949 (index of row where n appears), A276951 (index of column). Cf. A153880, A273670. Row 1: A273670, Row 2: A276932, Row 3: A276933. Column 1: A000142. For other columns, see the rows of transposed array A276955. Related or similar permutations: A257503, A275848, A273666. Cf. also arrays A276616, A276589 & A276943. Sequence in context: A082228 A114650 A170949 * A276943 A303148 A228784 Adjacent sequences:  A276950 A276951 A276952 * A276954 A276955 A276956 KEYWORD nonn,base,tabl AUTHOR Antti Karttunen, Sep 22 2016 STATUS approved

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Last modified January 20 04:21 EST 2019. Contains 319323 sequences. (Running on oeis4.)