A254107 - OEIS

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A254107

Transposed dispersion of A055938.

1, 3, 2, 4, 6, 5, 7, 9, 13, 12, 8, 14, 20, 28, 27, 10, 17, 29, 43, 59, 58, 11, 21, 36, 60, 90, 122, 121, 15, 24, 44, 75, 123, 185, 249, 248, 16, 30, 51, 91, 154, 250, 376, 504, 503, 18, 33, 61, 106, 186, 313, 505, 759, 1015, 1014, 19, 37, 68, 124, 217, 377, 632, 1016, 1526, 2038, 2037, 22, 40, 76, 139, 251, 440, 760, 1271, 2039, 3061, 4085, 4084 (list; table; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	COMMENTS	`This is dispersion array A254105 transposed. Please see there for a description.`
	LINKS	`Antti Karttunen, Table of n, a(n) for n = 1..120; the first 15 antidiagonals of array` `Index entries for sequences that are permutations of the natural numbers`
	FORMULA	`If row = 1, then A(row,col) = A005187(col), otherwise A(row,col) = A055938(A(row-1,col)).`
	EXAMPLE	`The top left corner of the array:` `1, 3, 4, 7, 8, 10, 11, 15, 16, 18, 19, 22` `2, 6, 9, 14, 17, 21, 24, 30, 33, 37, 40, 45` `5, 13, 20, 29, 36, 44, 51, 61, 68, 76, 83, 92` `12, 28, 43, 60, 75, 91, 106, 124, 139, 155, 170, 187` `27, 59, 90, 123, 154, 186, 217, 251, 282, 314, 345, 378` `58, 122, 185, 250, 313, 377, 440, 506, 569, 633, 696, 761` `121, 249, 376, 505, 632, 760, 887, 1017, 1144, 1272, 1399, 1528` `248, 504, 759, 1016, 1271, 1527, 1782, 2040, 2295, 2551, 2806, 3063` `503, 1015, 1526, 2039, 2550, 3062, 3573, 4087, 4598, 5110, 5621, 6134` `1014, 2038, 3061, 4086, 5109, 6133, 7156, 8182, 9205, 10229, 11252, 12277` `etc.`
	PROG	`(Scheme)` `(define (A254107 n) (A254105bi (A004736 n) (A002260 n)))` `(define (A254105bi row col) (if (= 1 col) (A005187 row) (A055938 (A254105bi row (- col 1)))))`
	CROSSREFS	`Inverse: A254108.` `Transpose: A254105.` `Row 1: A005187. Column 1: A000325.` `Row index: A254111, Column index of n: A254112.` `Cf. A002260, A004736, A005187, A055938.` `Sequence in context: A080782 A116941 A166695 * A116942 A254108 A093573` `Adjacent sequences: A254104 A254105 A254106 * A254108 A254109 A254110`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Antti Karttunen, Jan 26 2015`
	STATUS	`approved`

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Last modified January 30 12:16 EST 2023. Contains 359943 sequences. (Running on oeis4.)