A233761 -id:A233761 - cp's OEIS frontend

A233971 Number of toothpicks added at n-th stage to the structure of A233970.

0, 1, 2, 2, 4, 2, 4, 6, 8, 2, 4, 6, 10, 10, 8, 14, 16, 2, 4, 6, 10, 10, 10, 18, 24, 22, 8, 14, 22, 26, 16, 30, 32, 2, 4, 6, 10, 10, 10, 18, 24, 22, 10, 18, 28, 38, 28, 46, 56, 54, 8, 14, 22, 26, 22, 42, 56, 62, 16, 30, 46, 58, 32, 62, 64, 2, 4, 6, 10, 10

Offset: 0

Omar E. Pol, Dec 18 2013

Essentially the first differences of A233970.
First differs from A170905 at a(24).
First differs from both A233765 and A233781 at a(25).

			Written as an irregular triangle in which the row lengths is A011782 the sequence (starting from 1) begins:
1;
2;
2,4;
2,4,6,8;
2,4,6,10,10,8,14,16;
2,4,6,10,10,10,18,24,22,8,14,22,26,16,30,32;
2,4,6,10,10,10,18,24,22,10,18,28,38,28,46,56,54,8,14,22,26,22,42,56,62,16,30,46,58,32,62,64;
Right border gives A000079.

Cf. A000079, A011782, A139251, A161207, A161831, A170905, A182633, A182635, A182841, A233761, A233765, A233781, A233970, A233972.

A233760 Number of toothpicks and D-toothpicks after n-th stage in the D-toothpick "wide" triangle of the third kind, second version.

Original entry on oeis.org

0, 1, 3, 5, 9, 11, 15, 21, 29, 31, 35, 41, 53, 67, 79, 93, 109, 111, 115, 121, 133, 147, 167, 189, 215, 237, 249, 267, 299, 337, 365, 395, 427, 429, 433, 439, 451, 465, 485, 507, 533, 555, 575, 605, 649, 711, 763, 809, 863, 901, 913, 931, 967, 1013

Offset: 0

Omar E. Pol, Dec 16 2013

nonn

The structure is essentially the same as A220520 but here the borders do not contain toothpicks with exposed endpoints except the initial toothpick. The structure is one of the oblique wedges of several D-toothpick structures. For more information see A220500. The first differences (A233761) give the number of toothpicks or D-toothpicks added at n-th stage.

Cf. A139250, A220500, A220520, A233761, A233762, A233780.

A233763 Number of toothpicks or D-toothpicks added at n-th stage in the structure of the D-toothpick "narrow" triangle of A233762.

Original entry on oeis.org

0, 1, 2, 2, 4, 2, 4, 5, 8, 2, 4, 6, 12, 6, 8, 11, 16, 2, 4, 6, 12, 14, 16, 18, 24, 10, 8, 14, 28, 14, 16, 23, 32, 2, 4, 6, 12, 14, 16, 20, 32, 24, 20, 22, 40, 30, 40, 39, 48, 18, 8

Offset: 0

Omar E. Pol, Dec 15 2013

Essentially the first differences of A233762.

			Written as an irregular triangle in which the row lengths is A011782 the sequence (starting from 1) begins:
1;
2;
2,4;
2,4,5,8;
2,4,6,12,6,8,11,16;
2,4,6,12,14,16,18,24,10,8,14,28,14,16,23,32;
2,4,6,12,14,16,20,32,24,20,22,40,30,40,39,48,18,8,...
Right border gives A000079.

Cf. A000079, A011782, A139251, A220501, A220523, A233761, A233762.

a(2n) = A220523(2n); a(2n+1) = A220523(2n+1) - 2.

cp's OEIS Frontend

A233971 Number of toothpicks added at n-th stage to the structure of A233970.

Views

Author

Keywords

Comments

Examples

Crossrefs

A233760 Number of toothpicks and D-toothpicks after n-th stage in the D-toothpick "wide" triangle of the third kind, second version.

Views

Author

Keywords

Comments

Links

Crossrefs

A233763 Number of toothpicks or D-toothpicks added at n-th stage in the structure of the D-toothpick "narrow" triangle of A233762.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula