A248009 -id:A248009 - cp's OEIS frontend

A248171 Partition of the positive integers on minimal blocks such that concatenation of numbers in each block is an evil number (A001969). Sequence lists the evil numbers obtained in this way.

12, 3, 45, 6, 78, 9, 10, 1112, 1314, 15, 161718, 1920, 2122, 23, 24, 2526, 27, 2829, 30, 3132, 33, 34, 3536, 37383940, 414243, 4445464748, 495051, 52535455, 5657, 58, 5960, 6162, 63, 646566, 6768, 6970, 71, 72, 7374, 75, 7677787980, 818283, 8485868788, 89, 90

Offset: 1

Vladimir Shevelev, Oct 03 2014

The numbers of the consecutive positive integers over blocks of the partition are 2,1,2,1,2,1,1,2,2,1,3,2,2,1,1,2,1,...

Peter J. C. Moses, Table of n, a(n) for n = 1..1000

Cf. A000069 (odious), A001969 (evil), A248009, A248138, A248140, A248172 (similar, with odious).

from itertools import count
def evil(n): return bin(n)[2:].count('1') % 2 == 0
def aupton(terms):
    alst, t = [], 0
    for k in count(1):
        t = int(str(t) + str(k))
        if evil(t):
            alst.append(t)
            t = 0
            if len(alst) >= terms: return alst
print(aupton(45)) # Michael S. Branicky, Dec 03 2021

More terms from Peter J. C. Moses, Oct 04 2014

A248172 Partition of the positive integers on minimal blocks such that concatenation of numbers in each block is an odious number (A000069). Sequence lists the odious numbers obtained in this way.

Original entry on oeis.org

1, 2, 345, 67, 8, 9101112, 13, 14, 1516, 1718, 19, 202122232425, 26, 2728, 2930, 31, 32, 3334, 35, 3637, 38, 3940, 41, 42, 4344454647, 4849, 50, 5152, 5354, 55, 56, 5758, 59, 6061, 62, 6364, 6566, 67, 686970, 7172737475, 76, 7778, 79, 808182, 8384, 8586, 87

Offset: 1

Vladimir Shevelev, Oct 03 2014

The numbers of the consecutive positive integers over blocks of the partition are 1,1,3,2,1,4,1,1,2,2,1,6,1,2,2,1,1,2,1,...

Peter J. C. Moses, Table of n, a(n) for n = 1..1000

Cf. A000069 (odious), A001969 (evil), A248009, A248138, A248140, A248171 (similar, with evil).

More terms from Peter J. C. Moses, Oct 04 2014

A248477 Consider the partition of the positive odd integers into minimal blocks such that concatenation of numbers in each block is an odious number (A000069). Sequence lists the odious numbers obtained in this way.

Original entry on oeis.org

1, 35, 7, 911, 13, 15171921, 2325, 272931, 333537, 39414345474951, 53555759, 61, 63656769, 7173, 75777981, 838587, 8991939597, 99101103, 105107, 109, 111113, 115, 117, 119121123125127129131, 133, 135137, 139141, 143, 145, 147149, 151, 153155157, 159161

Offset: 1

Vladimir Shevelev, Oct 07 2014

The numbers of the consecutive positive odd integers over blocks of the partition are 1,2,1,2,1,4,2,3,3,7,4,1,4,2,4,3,5,3,2,1,...

			a(4)=911, since 9 is evil number, while 911 is odious.

Peter J. C. Moses, Table of n, a(n) for n = 1..1000

Cf. A000069, A001969, A248009, A248138, A148140, A248171, A248172.

More terms from Peter J. C. Moses, Oct 08 2014

cp's OEIS Frontend

A248171 Partition of the positive integers on minimal blocks such that concatenation of numbers in each block is an evil number (A001969). Sequence lists the evil numbers obtained in this way.

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A248172 Partition of the positive integers on minimal blocks such that concatenation of numbers in each block is an odious number (A000069). Sequence lists the odious numbers obtained in this way.

Views

Author

Keywords

Comments

Links

Crossrefs

Extensions

A248477 Consider the partition of the positive odd integers into minimal blocks such that concatenation of numbers in each block is an odious number (A000069). Sequence lists the odious numbers obtained in this way.

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Author

Keywords

Comments

Examples

Links

Crossrefs

Extensions