A193414 -id:A193414 - cp's OEIS frontend

A193415 Numbers from A193414 written in base 2.

1, 11, 101, 111, 1001, 1011, 1101, 1111, 10001, 10011, 10111, 11001, 11011, 11101, 11111, 100001, 100011, 100111, 101111, 110001, 110011, 110111, 111001, 111011, 111101, 111111, 1000001, 1000011, 1000111, 1001111, 1011111, 1100001, 1100011, 1100111, 1101111

Offset: 1

Jaroslav Krizek, Jul 25 2011

For n > 1 the structure of digits represents a valley. The first digit is equal to the last digit (1). The first digits are in nonincreasing order. The last digits are in nondecreasing order. The numbers may have more than one 0 digit. Sequence is infinite.

			Illustration using 67 = 1000011_2:
  1  .  .  .  .  1  1
  .  0  0  0  0  .  .

Cf. A193413 (Valley numbers written in base 10).

A193413 Valley numbers.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 202, 212, 222, 303, 313, 323, 333, 404, 414, 424, 434, 444, 505, 515, 525, 535, 545, 555, 606, 616, 626, 636, 646, 656, 666, 707, 717, 727, 737, 747, 757, 767, 777, 808, 818, 828, 838, 848, 858, 868, 878, 888, 909, 919, 929, 939, 949, 959, 969, 979, 989, 999, 1001

Offset: 1

Jaroslav Krizek, Jul 25 2011

For n > 10 the structure of digits represents a valley. The first digit is equal to the last digit (1 - 9). The first digits are in nonincreasing order. The last digits are in nondecreasing order. The numbers may have more than one smallest digit. Sequence is infinite.
Superset of crater numbers (A193409) and A193412.
See valley numbers in base 2 (A193414 and A193415).

			Illustration using 6543333346:
  6 . . . . . . . . 6
  . 5 . . . . . . . .
  . . 4 . . . . . 4 .
  . . . 3 3 3 3 3 . .

Cf. A110785, A193409, A193412, A193414, A193415.

Cf. A134970. - Omar E. Pol, Aug 05 2011

More terms extended by definition by Jaroslav Krizek, Jul 27 2011

cp's OEIS Frontend

A193415 Numbers from A193414 written in base 2.

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