cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A248009 Partition of the positive odd integers into minimal blocks such that the concatenation of the numbers in each block is an evil number (A001969). Sequence lists the evil numbers obtained in this way.

Original entry on oeis.org

135, 7911, 131517, 19212325272931, 33, 35373941, 43, 45, 4749, 51, 53, 5557, 596163, 65, 676971, 737577, 798183, 85, 8789, 9193, 95, 9799101103105, 107109, 111, 113, 115117119, 121123125127129, 131133, 135, 137139, 141, 143145147, 149, 151153155157, 159
Offset: 1

Views

Author

Vladimir Shevelev, Oct 05 2014

Keywords

Comments

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

Examples

			a(1)=135, since 1 and 13 are odious numbers, while 135 is evil.
		

Crossrefs

Programs

  • PARI
    lista(nn) = {s = ""; forstep(n=1, nn, 2, ns = concat(s, Str(n)); if ((hammingweight(eval(ns)) % 2) == 0, print1(ns, ", "); s = "", s = ns););} \\ Michel Marcus, Oct 09 2014

Extensions

More terms from Peter J. C. Moses, Oct 09 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

Views

Author

Vladimir Shevelev, Oct 03 2014

Keywords

Comments

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,...

Crossrefs

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

Extensions

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

Views

Author

Vladimir Shevelev, Oct 07 2014

Keywords

Comments

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,...

Examples

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

Crossrefs

Extensions

More terms from Peter J. C. Moses, Oct 08 2014
Showing 1-3 of 3 results.