The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A364956 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A364956

Numbers k such that A163511(k) is either k itself or its descendant in Doudna-tree, A005940 (or equally, in A163511-tree).
(history; published version)

#16 by Amiram Eldar at Thu Nov 30 12:38:29 EST 2023

STATUS

reviewed

approved

#15 by Stefano Spezia at Thu Nov 30 12:33:03 EST 2023

STATUS

proposed

reviewed

#14 by Michel Marcus at Thu Nov 30 12:29:53 EST 2023

STATUS

editing

proposed

#13 by Michel Marcus at Thu Nov 30 12:29:48 EST 2023

EXAMPLE

For n = 1367548 = 4*341887, A156552(n) = 6947, "1101100100011" in binary, and A163511(n) = 7322846164 = 2*3661423082 with A156552(A163511(n)) = 1778179, "110110010001000000011" in binary, as as the former binary expansion is NOT a prefix of the latter, 1367548 is NOT included in this sequence.

CROSSREFS

Cf. A252464, A364954.

STATUS

approved

editing

#12 by Michael De Vlieger at Sat Sep 02 11:26:20 EDT 2023

STATUS

proposed

approved

#11 by Antti Karttunen at Sat Sep 02 10:49:17 EDT 2023

STATUS

editing

proposed

#10 by Antti Karttunen at Sat Sep 02 10:32:54 EDT 2023

EXAMPLE

For n = 341887, A156552(n) = 1736, "11011001000" in binary, and A163511(n) = 1830711541, with A156552(A163511(n)) = 444544, "1101100100010000000" in binary, and as the former binary expansion is a prefix of the latter, 341887 is included in this sequence. Particularly, In this case, 1830711541 = A003961^7(2*341887) = 1830711541, , where A003961^7 indicates a prime shift by seven steps towards larger primes.

#9 by Antti Karttunen at Sat Sep 02 10:30:41 EDT 2023

EXAMPLE

For n = 341887, A156552(n) = 1736, "11011001000" in binary, and A163511(n) = 1830711541, with A156552(A163511(n)) = 444544, "1101100100010000000" in binary, and as the former binary expansion is a prefix of the latter, 341887 is included as a term of in this sequence. Particularly, A003961^7(2*341887) = 1830711541, where A003961^7 indicates a prime shift by seven steps towards larger primes.

For n = 683774 = 2*341887, A156552(n) = 3473 = "110110010001", and A163511(n) = 3661423082 = 2*1830711541, with A156552(A163511(n)) = 889089, "11011001000100000001", and as the former binary expansion is a prefix of the latter, 683774 is included as a term of in this sequence.

#8 by Antti Karttunen at Sat Sep 02 10:27:32 EDT 2023

EXAMPLE

For n = 683774 = 2*341887, A156552(n) = 3473 = "110110010001", and A163511(n) = 3661423082, = 2*1830711541, with A156552(A163511(n)) = 889089, "11011001000100000001", and as the former binary expansion is a prefix of the latter, 683774 is included as a term of this sequence.

#7 by Antti Karttunen at Sat Sep 02 10:08:00 EDT 2023

EXAMPLE

For n = 341887, A156552(n) = 1736, "11011001000" in binary, and A163511(n) = 1830711541, with A156552(A163511(n)) = 444544, "1101100100010000000" in binary, and as the former binary expansion is a prefix of the latter, 341887 is included as a term of this sequence. Particularly, A003961^7(2*341887) = 1830711541, where A003961^7 indicates a prime shift by seven steps towards larger primes.

For n = 683774 = 2*341887, A156552(n) = 3473 = "110110010001", and A163511(n) = 3661423082, with A156552(A163511(n)) = 889089, "11011001000100000001", and as the former binary expansion is a prefix of the latter, 683774 is included as a term of this sequence.

CROSSREFS

Cf. A005940, A156552, A163511.