The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A284565

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

A284565

Bisection of A000360.
(history; published version)

#11 by Jon E. Schoenfield at Fri Oct 13 00:31:59 EDT 2017

STATUS

proposed

approved

#10 by Jon E. Schoenfield at Fri Oct 13 00:31:42 EDT 2017

STATUS

editing

proposed

#9 by Jon E. Schoenfield at Fri Oct 13 00:31:38 EDT 2017

MATHEMATICA

a[n_] := a[n] = Which[n == 0, 1, EvenQ@ n, a[n/2] + a[n/2 - 1], True, a[(n - 1)/2] - Mod[(n - 1)/2 - 1, 3] + 1]; Table[a[2 n], {n, 0, 97}] (* Michael De Vlieger, Apr 05 2017, after _Jean - François Alcover _ _ at A000360 *)

STATUS

approved

editing

#8 by N. J. A. Sloane at Thu Apr 06 21:22:06 EDT 2017

STATUS

proposed

approved

#7 by Michael De Vlieger at Wed Apr 05 18:37:38 EDT 2017

STATUS

editing

proposed

#6 by Michael De Vlieger at Wed Apr 05 18:37:34 EDT 2017

MATHEMATICA

STATUS

proposed

editing

#5 by Antti Karttunen at Wed Apr 05 12:57:05 EDT 2017

STATUS

editing

proposed

#4 by Antti Karttunen at Wed Apr 05 12:55:17 EDT 2017

LINKS

Antti Karttunen, <a href="/A284565/b284565.txt">Table of n, a(n) for n = 0..8192</a>

#3 by Antti Karttunen at Wed Apr 05 12:47:56 EDT 2017

FORMULA

Other identities. For all n >= 1:

A007306(n) = a(n-1) + A284566(n-1).

CROSSREFS

Cf. A000360, A001222, A007306, A284556, A284563, A284566.

#2 by Antti Karttunen at Wed Apr 05 12:32:55 EDT 2017

NAME

allocated for Antti Karttunen

Bisection of A000360.

DATA

1, 1, 1, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 4, 3, 3, 3, 4, 6, 5, 5, 7, 6, 4, 5, 6, 6, 6, 5, 5, 5, 3, 3, 6, 7, 6, 8, 9, 8, 7, 7, 9, 11, 9, 8, 10, 8, 5, 6, 8, 9, 9, 9, 10, 10, 7, 6, 9, 9, 7, 7, 7, 5, 4, 4, 6, 9, 8, 9, 12, 11, 8, 10, 13, 14, 13, 12, 13, 12, 8, 8, 13, 15, 13, 15, 17, 15, 12, 11, 14, 16, 13, 11, 13, 10, 6, 7, 10

OFFSET

0,4

FORMULA

a(n) = A000360(2n).

a(n) = A001222(A284563(n)).

PROG

(Scheme)

(define (A284565 n) (A001222 (A284563 n)))

(define (A284565 n) (A000360with_prep_0 (+ n n 1))) ;; See code in A284556.

CROSSREFS

Cf. A000360, A001222, A007306, A284556, A284563.

KEYWORD

allocated

nonn

AUTHOR

Antti Karttunen, Apr 05 2017

STATUS

approved

editing