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A254055 Square array: A(row,col) = A003602(A254051(row,col)), read by antidiagonals A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ... 6
1, 2, 1, 1, 1, 3, 2, 6, 12, 4, 4, 9, 1, 9, 21, 5, 3, 13, 48, 102, 31, 3, 7, 30, 75, 36, 10, 183, 2, 15, 39, 6, 112, 426, 912, 274, 7, 18, 22, 58, 264, 669, 160, 684, 1641, 8, 10, 7, 129, 345, 198, 1003, 3828, 8202, 2461, 1, 6, 57, 156, 193, 517, 2370, 6015, 2871, 3076, 14763, 5, 24, 66, 85, 117, 1155, 3099, 889, 9022, 34446, 73812, 22144 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Starting with an odd number x = A135765(row,col), the result after one combined Collatz step (3x+1)/2 is found in A254051(row+1,col), and after iterated [i.e., we divide all powers of 2 out] Collatz step: x_new <- A139391(x) = A000265(3x+1) the resulting odd number x_new is located A135764(1,A(row+1,col)).

What the resulting odd number will be, is given by A254101(row+1,col).

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10440; the first 144 antidiagonals of array

EXAMPLE

The top left corner of the array:

    1,   2,    1,    2,    4,    5,     3,     2,    7,    8,     1, ...

    1,   1,    6,    9,    3,    7,    15,    18,   10,    6,    24, ...

    3,  12,    1,   13,   30,   39,    22,     7,   57,   66,    18, ...

    4,   9,   48,   75,    6,   58,   129,   156,   85,   25,   210, ...

   21, 102,   36,  112,  264,  345,   193,   117,  507,  588,    79, ...

   31,  10,  426,  669,  198,  517,  1155,  1398,  760,  441,  1884, ...

  183, 912,  160, 1003, 2370, 3099,  1732,    66, 4557, 5286,  1413, ...

  274, 684, 3828, 6015,  889, 4648, 10389, 12576, 6835,  496, 16950, ...

etc.

PROG

(Scheme, two versions)

(define (A254055 n) (A254055bi  (A002260 n) (A004736 n)))

(define (A254055bi row col) (A003602 (A254051bi row col))) ;; A254051bi given in A254051.

(define (A254055v2 n) (A254055biv2 (A002260 n) (A004736 n)))

(define (A254055biv2 row col) (A003602 (A048673 (A135764bi row (A249745 col))))) ;; A135764bi given in A135764.

CROSSREFS

Cf. A003602, A002260, A004736.

Related arrays: A135764, A135765, A254051, A254101, A254102.

Sequence in context: A302126 A136043 A336420 * A096815 A193516 A124445

Adjacent sequences:  A254052 A254053 A254054 * A254056 A254057 A254058

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen, Jan 27 2015

STATUS

approved

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Last modified May 12 06:54 EDT 2021. Contains 343820 sequences. (Running on oeis4.)