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 A253561 Square array read by antidiagonals: A(row,col) = A122111(A246278(row,col)). 6
 2, 3, 4, 6, 9, 8, 5, 18, 27, 16, 12, 25, 54, 81, 32, 10, 36, 125, 162, 243, 64, 24, 50, 108, 625, 486, 729, 128, 7, 72, 250, 324, 3125, 1458, 2187, 256, 15, 49, 216, 1250, 972, 15625, 4374, 6561, 512, 20, 75, 343, 648, 6250, 2916, 78125, 13122, 19683, 1024, 48, 100, 375, 2401, 1944, 31250, 8748, 390625, 39366, 59049, 2048, 14, 144, 500, 1875, 16807, 5832, 156250, 26244, 1953125, 118098, 177147, 4096 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS If we assume here that a(1) = 1 (but which is not explicitly included because outside of the array), then A253562 gives the inverse permutation. The top row A253568 contains the same terms as A102750, but in different order. LINKS FORMULA a(n) = A122111(A246278(n)). [As a linear sequence]. Other identities. A071178(A(row,col)) = row for all col. [All terms on row k have k as the exponent of their largest prime factor.] A253560(A(row,col)) = A(row+1,col). [For any n >= 2, A253560(n) gives the term which is immediately below n in the same column of this array.] EXAMPLE The top left corner of the array:    2,  3,   6,   5,   12,   10,   24,    7,   15,   20,  48,   14,  96,   40,    4,  9,  18,  25,   36,   50,   72,   49,   75,  100, 144,   98, 288,  200,    8, 27,  54, 125,  108,  250,  216,  343,  375,  500, 432,  686, 864, 1000,   16, 81, 162, 625,  324, 1250,  648, 2401, 1875, 2500,1296, 4802,2592, 5000,   32,243, 486,3125,  972, 6250, 1944,16807, 9375,12500,3888,33614,7776,25000, ... PROG (Scheme) (define (A253561 n) (A122111 (A246278 n))) CROSSREFS Inverse: A253562. The leftmost column: A000079. Topmost row: A253568. Cf. A071178, A122111, A246278, A102750, A253560, A253563. Sequence in context: A035312 A056230 A285321 * A119919 A036561 A334860 Adjacent sequences:  A253558 A253559 A253560 * A253562 A253563 A253564 KEYWORD nonn,tabl AUTHOR Antti Karttunen, Jan 03 2015 STATUS approved

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Last modified September 17 14:07 EDT 2021. Contains 347478 sequences. (Running on oeis4.)