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Revisions by Naohiro Nomoto

(See also Naohiro Nomoto's wiki page)

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A361229

G.f. A(x) satisfies A(x) = 1 + x^4 * (A(x) / (1 - x))^2.
(history; published version)

#16 by Naohiro Nomoto at Mon Mar 20 11:29:52 EDT 2023

STATUS

editing

proposed

#15 by Naohiro Nomoto at Mon Mar 20 11:28:51 EDT 2023

NAME

Include ( p_1 * p_4 ) and ( p_2 * p_3 ) in the sequence when (p_1, p_2, p_3, p_4) appears in the process of forming A360016(k) > 0. Sequence sorted into ascending order, with duplicates removed.

#14 by Naohiro Nomoto at Mon Mar 20 11:24:15 EDT 2023

EXAMPLE

If k = 57 then A360016(57) > 0.　At this time, {43,47,67,71} and {43,53,61,71} are appear in the prime quadruple that appears in A360016partition of 228.

#13 by Naohiro Nomoto at Mon Mar 20 11:01:06 EDT 2023

NAME

Include ( p_1 * p_4 ) and ( p_2 * p_3 ) in the sequence when there is an odd prime quadruple (p_1, p_2, p_3, p_4) appears in the process of forming A360016. Sequence sorted into ascending order, with duplicates removed(k) > 0.

CROSSREFS

Cf. A360016,A361415.

KEYWORD

nonn,easy,changed

A361415

Numbers k such that A360016(k) > 0.
(history; published version)

#9 by Naohiro Nomoto at Mon Mar 20 10:08:11 EDT 2023

STATUS

editing

proposed

#8 by Naohiro Nomoto at Mon Mar 20 10:06:36 EDT 2023

NAME

Numbers k such that A360016(k) > 0; sequence gives 2*k.

DATA

10, 14, 5, 7, 9, 12, 15, 18, 23, 24, 30, 36, 46, 48, 37, 42, 45, 47, 51, 53, 57, 59, 60, 72, 74, 66, 67, 73, 75, 78, 81, 84, 87, 90, 94, 93, 99, 102, 106, 114, 118, 105, 108, 120, 122, 123, 131, 132, 134, 146, 150, 156, 162, 168, 174, 138, 144, 147, 151, 153, 157, 165, 173, 177, 179, 180, 185, 186, 195, 196, 198, 204, 207, 210, 216, 211, 213, 225, 228, 233, 234, 237, 240, 244, 246, 262, 264, 276, 288, 294, 302, 306, 314, 330, 346, 354, 358, 360, 370, 372, 390, 392, 396, 414, 420, 422, 426, 450, 456, 466, 468, 474, 480, 490245

#4 by Naohiro Nomoto at Sat Mar 11 23:03:36 EST 2023

STATUS

editing

proposed

#3 by Naohiro Nomoto at Sat Mar 11 23:01:48 EST 2023

NAME

Numbers n such that A360016(n) > 0. Sequence ; sequence gives 2*n.

CROSSREFS

A360016,A361229

A360016

#2 by Naohiro Nomoto at Sat Mar 11 00:52:21 EST 2023

NAME

allocated for Naohiro NomotoNumbers n such that A360016(n) > 0. Sequence gives 2*n.

DATA

10, 14, 18, 24, 30, 36, 46, 48, 60, 72, 74, 84, 90, 94, 102, 106, 114, 118, 120, 132, 134, 146, 150, 156, 162, 168, 174, 180, 186, 198, 204, 210, 216, 240, 244, 246, 262, 264, 276, 288, 294, 302, 306, 314, 330, 346, 354, 358, 360, 370, 372, 390, 392, 396, 414, 420, 422, 426, 450, 456, 466, 468, 474, 480, 490

OFFSET

1,1

CROSSREFS

A360016,A361229

KEYWORD

allocated

nonn,easy

AUTHOR

Naohiro Nomoto, Mar 11 2023

STATUS

approved

editing

#1 by Naohiro Nomoto at Sat Mar 11 00:52:21 EST 2023

NAME

allocated for Naohiro Nomoto

KEYWORD

allocated

STATUS

approved