The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A264994 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A264994

Bijective base-4 reverse: a(0) = 0; for n >= 1, a(n) = A030103(A065883(n)) * A234957(n).
(history; published version)

#10 by N. J. A. Sloane at Sun Dec 13 07:49:32 EST 2015

STATUS

proposed

approved

#9 by Antti Karttunen at Mon Dec 07 16:17:36 EST 2015

STATUS

editing

proposed

Discussion

Mon Dec 07

16:53

Michel Marcus: I find it strange to have "Other identities. For all n >= 0:" and then only one identity.

17:09

Antti Karttunen: Other identities apart from the "defining" formula. Also, when that subheading is already in plural it is easier to add more identities under it, as otherwise it could be easy to forget to change "Other identity" to "Other identities"...

#8 by Antti Karttunen at Mon Dec 07 08:28:19 EST 2015

CROSSREFS

Cf. A264993 (a(3n)/3), A265335 (a(5n)/5).

KEYWORD

nonn,base,changed

#7 by Antti Karttunen at Mon Dec 07 06:18:08 EST 2015

CROSSREFS

Cf. A264993 (a(3n)/3).

#6 by Antti Karttunen at Mon Dec 07 06:12:28 EST 2015

COMMENTS

Self-inverse permutation of nonnegative integers.

LINKS

<a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

#5 by Antti Karttunen at Mon Dec 07 06:10:31 EST 2015

LINKS

Antti Karttunen, <a href="/A264994/b264994.txt">Table of n, a(n) for n = 0..16384</a>

#4 by Antti Karttunen at Mon Dec 07 06:08:50 EST 2015

FORMULA

Other identities. For all n >= 0:

a(4*n) = 4*a(n).

#3 by Antti Karttunen at Mon Dec 07 04:46:12 EST 2015

CROSSREFS

Cf. also A057889 (base-2), A263273 (base-3), A264994 A264995 (base-5), A264979 (base-9).

#2 by Antti Karttunen at Mon Dec 07 04:45:48 EST 2015

NAME

allocated Bijective base-4 reverse: a(0) = 0; for Antti Karttunenn >= 1, a(n) = A030103(A065883(n)) * A234957(n).

DATA

0, 1, 2, 3, 4, 5, 9, 13, 8, 6, 10, 14, 12, 7, 11, 15, 16, 17, 33, 49, 20, 21, 37, 53, 36, 25, 41, 57, 52, 29, 45, 61, 32, 18, 34, 50, 24, 22, 38, 54, 40, 26, 42, 58, 56, 30, 46, 62, 48, 19, 35, 51, 28, 23, 39, 55, 44, 27, 43, 59, 60, 31, 47, 63, 64, 65, 129, 193, 68, 81, 145, 209, 132, 97, 161, 225, 196, 113, 177, 241, 80, 69

OFFSET

0,3

FORMULA

a(0) = 0; for n >= 1, a(n) = A030103(A065883(n)) * A234957(n).

PROG

(Scheme)

(define (A264994 n) (if (zero? n) n (* (A030103 (A065883 n)) (A234957 n))))

CROSSREFS

Cf. A030103, A065883, A234957.

Cf. also A057889 (base-2), A263273 (base-3), A264994 (base-5), A264979 (base-9).

KEYWORD

allocated

nonn

AUTHOR

Antti Karttunen, Dec 07 2015

STATUS

approved

editing

#1 by Antti Karttunen at Sun Nov 29 14:26:38 EST 2015

NAME

allocated for Antti Karttunen

KEYWORD

allocated

STATUS

approved