A322317 Ordinal transform of A322316.

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

Offset

1,3

Links

Antti Karttunen, Table of n, a(n) for n = 1..19683

Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537

Prog

(PARI)
up_to = 65537;
ordinal_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), pt); for(i=1, length(invec), if(mapisdefined(om, invec[i]), pt = mapget(om, invec[i]), pt = 0); outvec[i] = (1+pt); mapput(om, invec[i], (1+pt))); outvec; };
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; };
A007814(n) = valuation(n, 2);
A007949(n) = valuation(n, 3);
A122841(n) = min(A007814(n), A007949(n));
A244417(n) = max(valuation(n, 2), valuation(n, 3));
v322316 = rgs_transform(vector(up_to, n, [A122841(n), A244417(n)]));
v322317 = ordinal_transform(v322316);
A322317(n) = v322317[n];

Crossrefs

Cf. A007814, A007949, A122841, A244417, A322316.

Cf. also A126760.

Sequence in context: A071956 A077767 A355319 * A263259 A137163 A344233

Adjacent sequences: A322314 A322315 A322316 * A322318 A322319 A322320

Keyword

nonn

Author

Antti Karttunen, Dec 04 2018

Status

approved