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Revision History for A306122 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Numbers that are product of a second hexagonal number (A014105) and a square pyramidal numbers (A000330) in at least two ways.
(history; published version)
#17 by M. F. Hasler at Tue Jul 10 10:12:01 EDT 2018
STATUS

proposed

approved

#16 by M. F. Hasler at Tue Jul 10 10:11:54 EDT 2018
STATUS

editing

proposed

#15 by M. F. Hasler at Tue Jul 10 10:11:50 EDT 2018
COMMENTS

We have A000330(n) = 1 + 2^2 + ... + n^2 and A014105(m) = 0^2 - 1^2 + 2^2 -+ ... + (2m)^2, so the terms of this sequence are the numbers that are a product, in at least two ways, of a partial sum of squares times a (positive) partial sum of squares with alternating signs (with + for even terms; cf. A306122 A306121 for the opposite convention).

STATUS

approved

editing

#14 by M. F. Hasler at Tue Jul 03 23:29:16 EDT 2018
STATUS

editing

approved

#13 by M. F. Hasler at Tue Jul 03 23:29:05 EDT 2018
COMMENTS

We have A000330(n) = 1 + 2^2 + ... + n^2 and A14105A014105(m) = 0^2 - 1^2 + 2^2 -+ ... + (2m)^2, so the terms of this sequence are the numbers that are a product, in at least two ways, of a partial sum of squares times a (positive) partial sum of squares with alternating signs (with + for even terms; cf. A306122 for the opposite convention).

STATUS

approved

editing

#12 by M. F. Hasler at Tue Jul 03 23:24:34 EDT 2018
STATUS

editing

approved

#11 by M. F. Hasler at Tue Jul 03 23:24:31 EDT 2018
CROSSREFS
STATUS

approved

editing

#10 by M. F. Hasler at Tue Jul 03 23:24:01 EDT 2018
STATUS

editing

approved

#9 by M. F. Hasler at Tue Jul 03 23:23:51 EDT 2018
NAME

Numbers that are product of a second hexagonal number (A14105A014105) and a square pyramidal numbers (A000330) in at least two ways.

STATUS

approved

editing

#8 by M. F. Hasler at Tue Jul 03 21:26:10 EDT 2018
STATUS

editing

approved