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Revision History for A298748 (Underlined text is an addition; strikethrough text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A298748

Heinz numbers of aperiodic (relatively prime multiplicities) integer partitions with relatively prime parts.
(history; published version)

#18 by N. J. A. Sloane at Mon Apr 16 18:51:51 EDT 2018

STATUS

proposed

approved

#17 by Wesley Ivan Hurt at Sun Apr 15 21:46:50 EDT 2018

STATUS

editing

proposed

#16 by Wesley Ivan Hurt at Sun Apr 15 21:46:35 EDT 2018

CROSSREFS

Cf. A000740, A000837, A007916, A052410, A064989, A100953, A289508, A289509, A296302, A300272.

STATUS

proposed

editing

#15 by Gus Wiseman at Sat Apr 14 13:07:57 EDT 2018

STATUS

editing

proposed

#14 by Gus Wiseman at Sat Apr 14 12:56:34 EDT 2018

MATHEMATICA

Select[Range[100], With[{t=Transpose[FactorInteger[#]]}, And[GCD@@PrimePi/@t[[1]]===1, GCD@@t[[2]]===1]]&] (* Gus Wiseman, Apr 14 2018 *)

STATUS

approved

editing

#13 by Susanna Cuyler at Fri Mar 02 22:55:58 EST 2018

STATUS

proposed

approved

#12 by Gus Wiseman at Fri Mar 02 00:23:41 EST 2018

STATUS

editing

proposed

#11 by Gus Wiseman at Fri Mar 02 00:23:12 EST 2018

NAME

Heinz numbers of aperiodic integer partitions (relatively prime multiplicities) integer partitions with relatively prime parts.

#10 by Gus Wiseman at Thu Mar 01 21:49:14 EST 2018

	NAME	`allocatedHeinz numbers of aperiodic integer partitions (relatively prime multiplicities) with forrelatively Gusprime Wisemanparts.`
	DATA	`2, 6, 10, 12, 14, 15, 18, 20, 22, 24, 26, 28, 30, 33, 34, 35, 38, 40, 42, 44, 45, 46, 48, 50, 51, 52, 54, 55, 56, 58, 60, 62, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 82, 84, 85, 86, 88, 90, 92, 93, 94, 95, 96, 98, 99, 102, 104, 105, 106, 108, 110, 112, 114`
	OFFSET	`1,1`
	COMMENTS	`The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)...prime(y_k).`
	EXAMPLE	`Sequence of partitions begins: (1), (21), (31), (211), (41), (32), (221), (311), (51), (2111), (61), (411), (321), (52), (71), (43), (81), (3111), (421), (511), (322), (91), (21111), (331), (72), (611), (2221), (53), (4111).`
	CROSSREFS	`A000740, A000837, A007916, A052410, A064989, A100953, A289508, A289509, A296302, A300272.`
	KEYWORD	`allocated` `nonn`
	AUTHOR	`Gus Wiseman, Mar 01 2018`
	STATUS	`approved` `editing`

#9 by Gus Wiseman at Thu Mar 01 21:49:14 EST 2018

NAME

allocated for Gus Wiseman

KEYWORD

recycled

allocated

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Last modified August 29 11:13 EDT 2024. Contains 375512 sequences. (Running on oeis4.)