The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A276955 Square array A(row,col): A(row,1) = A273670(row-1), and for col > 1, A(row,col) = A153880(A(row,col-1)); Dispersion of factorial base left shift A153880. 20
 1, 2, 3, 6, 8, 4, 24, 30, 12, 5, 120, 144, 48, 14, 7, 720, 840, 240, 54, 26, 9, 5040, 5760, 1440, 264, 126, 32, 10, 40320, 45360, 10080, 1560, 744, 150, 36, 11, 362880, 403200, 80640, 10800, 5160, 864, 168, 38, 13, 3628800, 3991680, 725760, 85680, 41040, 5880, 960, 174, 50, 15, 39916800, 43545600, 7257600, 766080, 367920, 46080, 6480, 984, 246, 56, 16 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The square 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. When viewed in factorial base (A007623) the terms on each row start all with the same prefix, but with an increasing number of zeros appended to the end. For example, for row 8 (A001344 from a(1)=11 onward), the terms written in factorial base look as: 121, 1210, 12100, 121000, ... LINKS FORMULA A(row,1) = A273670(row-1), and for col > 1, A(row,col) = A153880(A(row,col-1)) As a composition of other permutations: a(n) = A275848(A257505(n)). EXAMPLE The top left {1..9} x {1..18} corner of the array:    1,  2,   6,   24,   120,    720,    5040,    40320,    362880    3,  8,  30,  144,   840,   5760,   45360,   403200,   3991680    4, 12,  48,  240,  1440,  10080,   80640,   725760,   7257600    5, 14,  54,  264,  1560,  10800,   85680,   766080,   7620480    7, 26, 126,  744,  5160,  41040,  367920,  3669120,  40279680    9, 32, 150,  864,  5880,  46080,  408240,  4032000,  43908480   10, 36, 168,  960,  6480,  50400,  443520,  4354560,  47174400   11, 38, 174,  984,  6600,  51120,  448560,  4394880,  47537280   13, 50, 246, 1464, 10200,  81360,  730800,  7297920,  80196480   15, 56, 270, 1584, 10920,  86400,  771120,  7660800,  83825280   16, 60, 288, 1680, 11520,  90720,  806400,  7983360,  87091200   17, 62, 294, 1704, 11640,  91440,  811440,  8023680,  87454080   18, 72, 360, 2160, 15120, 120960, 1088640, 10886400, 119750400   19, 74, 366, 2184, 15240, 121680, 1093680, 10926720, 120113280   20, 78, 384, 2280, 15840, 126000, 1128960, 11249280, 123379200   21, 80, 390, 2304, 15960, 126720, 1134000, 11289600, 123742080   22, 84, 408, 2400, 16560, 131040, 1169280, 11612160, 127008000   23, 86, 414, 2424, 16680, 131760, 1174320, 11652480, 127370880 PROG (Scheme) (define (A276955 n) (A276955bi (A002260 n) (A004736 n))) (define (A276955bi row col) (if (= 1 col) (A273670 (- row 1)) (A153880 (A276955bi row (- col 1))))) CROSSREFS Inverse permutation: A276956. Transpose: A276953. Cf. A276949 (index of column where n appears), A276951 (index of row). Cf. A153880. Columns 1-3: A273670, A276932, A276933. The following lists some of the rows that have their own entries. Pattern present in the factorial base expansion of the terms on that row is given in double quotes: Row 1: A000142 (from a(1)=1, "1" onward), Row 2: A001048 (from a(2)=3, "11" onward), Row 3: A052849 (from a(2)=4, "20" onward). Row 4: A052649 (from a(1)=5, "21" onward). Row 5: A108217 (from a(3)=7, "101" onward). Row 6: A054119 (from a(3)=9, "111" onward). Row 7: A052572 (from a(2)=10, "120" onward). Row 8: A001344 (from a(1)=11, "121" onward). Row 13: A052560 (from a(3)=18, "300" onward). Row 16: A225658 (from a(1)=21, "311" onward). Row 20: A276940 (from a(3) = 27, "1011" onward). Related or similar permutations: A257505, A275848, A273666. Cf. also arrays A276617, A276588 & A276945. Sequence in context: A140265 A191453 A191454 * A276945 A246266 A284385 Adjacent sequences:  A276952 A276953 A276954 * A276956 A276957 A276958 KEYWORD nonn,base,tabl AUTHOR Antti Karttunen, Sep 22 2016 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.

Last modified May 30 18:38 EDT 2020. Contains 334728 sequences. (Running on oeis4.)