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Revision History for A260619

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Showing entries 1-10 | older changes
Arithmetic derivative of hyperfactorial(n).
(history; published version)
#31 by Alois P. Heinz at Mon Jun 13 15:16:26 EDT 2022
STATUS

reviewed

approved

#30 by Michel Marcus at Mon Jun 13 12:51:50 EDT 2022
STATUS

proposed

reviewed

#29 by Chai Wah Wu at Mon Jun 13 10:17:15 EDT 2022
STATUS

editing

proposed

#28 by Chai Wah Wu at Mon Jun 13 10:16:50 EDT 2022
PROG

(Python 3.8+)

STATUS

proposed

editing

Discussion
Mon Jun 13
10:17
Chai Wah Wu: @Michel: see discussion in A068311
#27 by Chai Wah Wu at Sun Jun 12 19:17:11 EDT 2022
STATUS

editing

proposed

Discussion
Mon Jun 13
00:04
Michel Marcus: unsupported operand type(s) for +: 'int' and 'Counter'
#26 by Chai Wah Wu at Sun Jun 12 19:17:06 EDT 2022
PROG

return sum(s*e//p for p, e in sum(((lambda x: Counter({k:x[k]*m for k in x}))(factorint(m)) for m in range(2, n+1)), start=Counter({2:0})).items()) if n > 1 else 0 # Chai Wah Wu, Jun 12 2022

#25 by Chai Wah Wu at Sun Jun 12 19:16:57 EDT 2022
PROG

(Python)

from math import prod

from collections import Counter

from sympy import factorint

def A260619(n):

s = prod(i**i for i in range(2, n+1))

return sum(s*e//p for p, e in sum(((lambda x: Counter({k:x[k]*m for k in x}))(factorint(m)) for m in range(2, n+1)), start=Counter({2:0})).items()) if n > 1 else 0 # Chai Wah Wu, Jun 12 2022

STATUS

approved

editing

#24 by Joerg Arndt at Sat Nov 14 03:38:30 EST 2020
STATUS

reviewed

approved

#23 by Michel Marcus at Sat Nov 14 03:22:12 EST 2020
STATUS

proposed

reviewed

#22 by Jean-François Alcover at Sat Nov 14 03:08:19 EST 2020
STATUS

editing

proposed