Revision History for A359178
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
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#52 by Michael De Vlieger at Mon May 15 08:45:49 EDT 2023
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#51 by Gus Wiseman at Mon May 15 03:17:13 EDT 2023
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#50 by Gus Wiseman at Mon May 15 03:15:36 EDT 2023
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| CROSSREFS
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For mode (greatest instead of smallest) we have A356862, counted by A362608.
A001221 is the number ofcounts prime exponents, which sum toand A001222 adds them up.
Cf. A056239, A102750, A130091, `A215366, `, A327473, `, A327476, `A353864, A359908, A362605, `A362607, `A362614, A362615.
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#49 by Gus Wiseman at Sat May 13 04:13:31 EDT 2023
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Cf. A356862, A130091.
For mode (greatest instead of smallest) we have A356862, counted by A362608.
A112798A001221 is the number listsof prime indicesexponents, lengthwhich A001222, sum to A056239A001222.
A362615 counts partitions by number of co-modes, for modes A362614.
Cf. A102750 h_wo_uq_max, A215366 h_tri, A327473 h_mean_is_part, A327476 h_ptns_wo_mean, A353864 ptns_rucksack, A359908 prix_int_medn, A362605 prifact_multmode, A362607 ptns_multmode.
A027746 lists prime factors, A112798 indices, A124010 exponents.
Cf. A056239, A102750, A130091, `A215366, `A327473, `A327476, `A353864, A359908, A362605, `A362607, `A362614, A362615.
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#48 by Gus Wiseman at Fri May 12 04:17:11 EDT 2023
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| LINKS
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Wikipedia, <a href="https://en.wikipedia.org/wiki/Mode_(statistics)">Mode (statistics)</a>.
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| CROSSREFS
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For parts instead of multiplicities we have A247180, counted by A002865.
For mode we have A356862, counted by A362608.
The complement is A362606, counted by A362609.
Partitions of this type are counted by A362610.
These are the positions of 1's in A362613, for modes A362611.
A112798 lists prime indices, length A001222, sum A056239.
A362615 counts partitions by number of co-modes, for modes A362614.
Cf. A102750 h_wo_uq_max, A215366 h_tri, A327473 h_mean_is_part, A327476 h_ptns_wo_mean, A353864 ptns_rucksack, A359908 prix_int_medn, A362605 prifact_multmode, A362607 ptns_multmode.
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| STATUS
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approved
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#47 by Alois P. Heinz at Wed Feb 08 11:04:04 EST 2023
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#46 by Chai Wah Wu at Wed Feb 08 10:49:56 EST 2023
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#45 by Chai Wah Wu at Wed Feb 08 10:49:51 EST 2023
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| PROG
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(Python)
from itertools import count, islice
from sympy import factorint
def A359178_gen(startvalue=2): # generator of terms >= startvalue
return filter(lambda n:(f:=list(factorint(n).values())).count(min(f))==1, count(max(startvalue, 2)))
A359178_list = list(islice(A359178_gen(), 20)) # Chai Wah Wu, Feb 08 2023
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approved
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#44 by Alois P. Heinz at Wed Feb 08 09:32:02 EST 2023
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#43 by Jens Ahlström at Wed Feb 08 09:21:10 EST 2023
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