A305298 -id:A305298 - cp's OEIS frontend

A305296 Restricted growth sequence transform of A305295(n), formed from 1-digits in ternary representation of A245612(n).

1, 2, 3, 3, 4, 5, 2, 6, 7, 8, 9, 1, 3, 2, 8, 2, 10, 11, 2, 12, 13, 14, 2, 1, 4, 15, 16, 7, 17, 18, 8, 1, 19, 20, 21, 22, 3, 23, 16, 2, 24, 25, 26, 27, 3, 28, 2, 29, 7, 30, 28, 30, 31, 32, 33, 2, 34, 31, 20, 18, 17, 16, 2, 8, 35, 36, 37, 38, 39, 8, 40, 41, 4, 42, 43, 44, 31, 45, 16, 46, 47, 48, 49, 50, 51, 4, 52, 53, 4, 1, 54, 15, 3

Offset: 0

Antti Karttunen, May 31 2018

nonn

For all i, j: a(i) = a(j) => A305431(i) = A305431(j).

Antti Karttunen, Table of n, a(n) for n = 0..65537

Cf. A245612, A289813, A305295, A305431.
Cf. also A305297, A305298.
Cf. also A304758, A304740.

A003961(n) = my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); \\ From A003961
A048673(n) = (A003961(n)+1)/2;
A254049(n) = A048673((2*n)-1);
A245612(n) = if(n<2,1+n,if(!(n%2),(3*A245612(n/2))-1,A254049(A245612((n-1)/2))));
A289813(n) = { my (d=digits(n, 3)); fromdigits(vector(#d, i, if (d[i]==1, 1, 0)), 2); } \\ From A289813
A305295(n) = A289813(A245612(n));
rgs_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(om,invec[i]), my(pp = mapget(om, invec[i])); outvec[i] = outvec[pp] , mapput(om,invec[i],i); outvec[i] = u; u++ )); outvec; };
v305296 = rgs_transform(vector(65538,n,A305295(n-1)));
A305296(n) = v305296[1+n];

A305432 Restricted growth sequence transform of A278222(A291763(n)), constructed from runlengths of 2-digits in base-3 representation of A245612(n).

Original entry on oeis.org

1, 2, 2, 1, 2, 1, 3, 1, 2, 2, 2, 3, 4, 2, 2, 2, 2, 4, 5, 2, 2, 2, 6, 4, 4, 2, 7, 1, 2, 1, 3, 2, 2, 6, 8, 3, 9, 2, 4, 6, 2, 4, 3, 4, 6, 4, 8, 1, 4, 4, 4, 1, 6, 2, 3, 3, 2, 2, 2, 2, 4, 2, 4, 1, 2, 2, 9, 8, 8, 6, 6, 1, 9, 10, 6, 4, 4, 4, 11, 2, 2, 2, 8, 2, 4, 7, 8, 2, 6, 4, 6, 6, 8, 4, 2, 2, 4, 1, 6, 9, 4, 6, 12, 2, 6, 7

Offset: 0

Antti Karttunen, Jun 01 2018

nonn

Antti Karttunen, Table of n, a(n) for n = 0..65537

Cf. A245612, A278222, A291763, A305298, A305431, A305433.

Cf. also A305302.

A003961(n) = my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); \\ From A003961
A048673(n) = (A003961(n)+1)/2;
A254049(n) = A048673((2*n)-1);
A245612(n) = if(n<2,1+n,if(!(n%2),(3*A245612(n/2))-1,A254049(A245612((n-1)/2))));
A289814(n) = { my (d=digits(n, 3)); fromdigits(vector(#d, i, if (d[i]==2, 1, 0)), 2); } \\ From A289814
A291763(n) = A289814(A245612(n));
A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t };
A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ From A046523
A278222(n) = A046523(A005940(1+n));
rgs_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(om,invec[i]), my(pp = mapget(om, invec[i])); outvec[i] = outvec[pp] , mapput(om,invec[i],i); outvec[i] = u; u++ )); outvec; };
v305432 = rgs_transform(vector(65538,n,A278222(A291763(n-1))));
A305432(n) = v305432[1+n];

A305297 Restricted growth sequence transform of A292260, formed from 0-digits in ternary representation of A245612(n).

Original entry on oeis.org

1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 4, 1, 1, 3, 4, 2, 1, 5, 6, 7, 8, 2, 4, 8, 1, 9, 1, 2, 8, 10, 1, 1, 1, 11, 12, 1, 5, 13, 14, 15, 6, 4, 1, 7, 8, 16, 7, 9, 1, 17, 18, 19, 1, 8, 8, 3, 6, 17, 20, 4, 1, 17, 4, 3, 1, 21, 22, 23, 24, 25, 4, 26, 27, 1, 24, 28, 29, 9, 5, 4, 5, 13, 10, 30, 1, 31, 14, 13, 6, 32, 33, 6, 34, 15, 18, 4, 1, 35, 6, 31, 36, 1, 30, 36, 1, 37

Offset: 0

Antti Karttunen, May 31 2018

nonn

For all i, j: a(i) = a(j) => A292261(i) = A292261(j).

Antti Karttunen, Table of n, a(n) for n = 0..65537

Cf. A291770, A292260, A245612, A292261.
Cf. also A305296, A305298.
Cf. also A304750.

A003961(n) = my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); \\ From A003961
A048673(n) = (A003961(n)+1)/2;
A254049(n) = A048673((2*n)-1);
A245612(n) = if(n<2,1+n,if(!(n%2),(3*A245612(n/2))-1,A254049(A245612((n-1)/2))));
A291770(n) = { my(s=0, b=1, d); while(n>2, if(!(n%3), s += b); b <<= 1; n \= 3); (s); };
A292260(n) = A291770(A245612(n));
rgs_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(om,invec[i]), my(pp = mapget(om, invec[i])); outvec[i] = outvec[pp] , mapput(om,invec[i],i); outvec[i] = u; u++ )); outvec; };
v305297 = rgs_transform(vector(65538,n,A292260(n-1)));
A305297(n) = v305297[1+n];

cp's OEIS Frontend

A305296 Restricted growth sequence transform of A305295(n), formed from 1-digits in ternary representation of A245612(n).

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

PARI

A305432 Restricted growth sequence transform of A278222(A291763(n)), constructed from runlengths of 2-digits in base-3 representation of A245612(n).

Views

Author

Keywords

Links

Crossrefs

Programs

PARI

A305297 Restricted growth sequence transform of A292260, formed from 0-digits in ternary representation of A245612(n).

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

PARI