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Revision History for A269848 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A269848 a(1) = 1, a(2n) = A065090(1+a(n)), a(2n+1) = A000040(a(A064989(2n+1))).
(history; published version)
#15 by N. J. A. Sloane at Mon Mar 07 12:31:35 EST 2016
STATUS

proposed

approved

#14 by Antti Karttunen at Sun Mar 06 15:11:19 EST 2016
STATUS

editing

proposed

#13 by Antti Karttunen at Sun Mar 06 14:21:33 EST 2016
CROSSREFS

Related or similar permutations: A237739, A243071, A246682, A269858.

STATUS

proposed

editing

#12 by Antti Karttunen at Sun Mar 06 13:52:33 EST 2016
STATUS

editing

proposed

#11 by Antti Karttunen at Sun Mar 06 13:47:55 EST 2016
FORMULA

Equally, for n > 2, if n is even, a(n) = A065090(1+a(n/2)), and for odd n, a(n) = A000040(a(A064989(n))).

PROG

(definec (A269848 n) (cond ((<= n 2) n) ((even? n) (A002808 (+ -1 (A269848 (/ n 2))))) (else (A000040 (A269848 (A064989 n))))))

#10 by Antti Karttunen at Sun Mar 06 13:43:36 EST 2016
NAME

a(1) = 1, a(2n) = A065090(1+a(n)), a(2n+1) = A000040(a(A064989(n))). a(1) = 1, a(2) = 2, for n > 2, if n is even, a(n) = A002808(a(n/2)-2n+1), and for odd n, a(n) = A000040(a(A064989(n))).

#9 by Antti Karttunen at Sun Mar 06 13:41:10 EST 2016
NAME

a(1) = 1, a(2n) = A065090(1+a(n)), a(2n+1) = A000040(a(A064989(n))). a(1) = 1, a(2) = 2, for n > 2, if n is even, a(n) = A002808(a(n/2)-1), and for odd n, a(n) = A000040(a(A064989(n))).

#8 by Antti Karttunen at Sun Mar 06 13:37:14 EST 2016
DATA

1, 2, 3, 4, 5, 6, 11, 8, 7, 9, 31, 10, 127, 18, 13, 14, 709, 12, 5381, 15, 23, 45, 52711, 16, 17, 165, 19, 27, 648391, 21, 9737333, 22, 61, 856, 41, 20, 174440041, 6185, 197, 24, 3657500101, 34, 88362852307, 63, 29, 58644, 2428095424619, 25, 59, 26, 977, 212

COMMENTS

Term a(47) manually copied from A007097(15). Note that A000040(15) = 47.

PROG

(PARI)

allocatemem(2^30);

default(primelimit, 4294965247);

A002808(n) = { my(k=-1); while( -n + n += -k + k=primepi(n), ); n}; \\ This function from M. F. Hasler

A064989(n) = {my(f); f = factor(n); if((n>1 && f[1, 1]==2), f[1, 2] = 0); for (i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f)};

A269848 = n -> if(n<=2, n, if((n%2), prime(A269848(A064989(n))), A002808(A269848(n/2)-1)));

for(n=1, 52, t = A269848(n); print1(t, ", "); write("b269848.txt", n, " ", t));

#7 by Antti Karttunen at Sun Mar 06 13:17:05 EST 2016
FORMULA

Equally, for n > 2, if n is even, a(n) = A065090(1+a(n/2)), and for odd n, a(n) = A000040(a(A064989(n))).

PROG

(definec (A269848 n) (cond ((<= n 1) n) ((even? n) (A065090 (+ 1 (A269848 (/ n 2))))) (else (A000040 (A269848 (A064989 n))))))

CROSSREFS

Cf. A000040, A007097, A002808, A064989, A065090.

#6 by Antti Karttunen at Sun Mar 06 12:53:28 EST 2016
CROSSREFS

Related or similar permutations: A237739, A243071, A246682.

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Last modified August 30 02:56 EDT 2024. Contains 375521 sequences. (Running on oeis4.)