[seqfan] phi-partitions of n
njasloane at gmail.com
Thu Mar 9 18:55:25 CET 2017
Dear Seq Fans, Call a partition n = a1+...+ak a phi-partition
if phi(n) = phi(a1)+...+phi(ak)
where phi() = A10().
There are several refinements, such as
Are these sequences (the number of ... of n) in the OEIS?
Also the related sequence of semisimple integers (Wang and Wang) - it
seems the smallest is 746130, so this is definitely not yet in the
OEIS - how does it continue?
References (FQ = Fib Quarterly)
Wang and Wang FQ May 2006 pp 98-102
which cites the earlier papers
Jones, FQ 29.4 1991 347-350
Powell FQ 34.3 1996 194-198
Wang FQ 31.4 1993 365-389
Of course everything in the FQ is free on-line
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