A257503 - OEIS

A257503

Square array A(row,col) read by antidiagonals: A(1,col) = A256450(col-1), and for row > 1, A(row,col) = A255411(A(row-1,col)); Dispersion of factorial base shift A255411 (array transposed).

1, 2, 4, 3, 12, 18, 5, 16, 72, 96, 6, 22, 90, 480, 600, 7, 48, 114, 576, 3600, 4320, 8, 52, 360, 696, 4200, 30240, 35280, 9, 60, 378, 2880, 4920, 34560, 282240, 322560, 10, 64, 432, 2976, 25200, 39600, 317520, 2903040, 3265920, 11, 66, 450, 3360, 25800, 241920, 357840, 3225600, 32659200, 36288000, 13, 70, 456, 3456, 28800, 246240, 2540160, 3588480, 35925120, 399168000, 439084800

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OFFSET

1,2

COMMENTS

The array is read by antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.

The first row (A256450) contains all the numbers which have at least one 1-digit in their factorial base representation (see A007623), after which the successive rows are obtained from the terms on the row immediately above by shifting their factorial representation one left and then incrementing the nonzero digits in that representation with a factorial base shift-operation A255411.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..1275; the first 50 antidiagonals of array

Index entries for sequences related to factorial base representation

Index entries for sequences that are permutations of the natural numbers

FORMULA

A(1,col) = A256450(col-1), and for row > 1, A(row,col) = A255411(A(row-1,col)).

EXAMPLE

The top left corner of the array:

1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 13

4, 12, 16, 22, 48, 52, 60, 64, 66, 70, 76

18, 72, 90, 114, 360, 378, 432, 450, 456, 474, 498

96, 480, 576, 696, 2880, 2976, 3360, 3456, 3480, 3576, 3696