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.

A384662 Solution of the complementary equation b(n)=a(a(n))+a(n)+2 with a(1)=1; this is the sequence b.

Original entry on oeis.org

4, 6, 8, 14, 19, 23, 25, 28, 30, 32, 37, 39, 41, 44, 49, 52, 55, 60, 64, 67, 73, 78, 82, 84, 87, 89, 94, 99, 103, 106, 110, 113, 115, 118, 122, 124, 129, 131, 135, 138, 140, 142, 148, 150, 153, 158, 160, 165, 167, 169, 171, 174, 178, 181, 183, 186, 190, 193
Offset: 1

Views

Author

Clark Kimberling, Jun 09 2025

Keywords

Comments

Sequence a is A384661.

Examples

			b(1) = a(a(1))+a(1)+2 = 1+1+2 = 4;
b(2) = a(a(2))+a(2)+2 = 2+2+2 = 6;
b(3) = a(a(3))+a(3)+2 = 3+3+2 = 8;
b(4) = a(a(4))+a(4)+2 = 5+7+2 = 14.

Links

Crossrefs

Cf. A136498, A136499, A136500, A384661, A384663, A384664.

Formula

{b(n)-b(n-1) : n>=2} = {2, 3, 4, 5, 6}.

A384663 Solution of the complementary equation b(n)=a(a(n))+a(n)+3 with a(1)=1; this is the sequence a. Sequence b is A384664.

Original entry on oeis.org

1, 2, 3, 4, 6, 8, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 24, 25, 26, 28, 29, 30, 32, 33, 35, 37, 39, 41, 42, 43, 44, 46, 48, 50, 51, 53, 55, 56, 57, 58, 60, 62, 63, 65, 66, 67, 68, 69, 71, 72, 74, 76, 77, 78, 80, 81, 83, 84, 85, 86, 87, 89, 90, 91, 92
Offset: 1

Views

Author

Clark Kimberling, Jun 11 2025

Keywords

Examples

			b(1) = a(a(1))+a(1)+3 = 1+1+3 = 5;
b(2) = a(a(2))+a(2)+3 = 2+2+3 = 7;
b(3) = a(a(3))+a(3)+3 = 3+3+3 = 9;
b(4) = a(a(4))+a(4)+3 = 4+4+3 = 11;
b(5) = a(a(5))+a(5)+3 = 6+8+3 = 17.

Links

Crossrefs

Cf. A136499, A136500, A384661, A384662, A384664.

A384664 Solution of the complementary equation b(n)=a(a(n))+a(n)+3 with a(1)=1; this is the sequence b. Sequence a is A384663.

Original entry on oeis.org

5, 7, 9, 11, 17, 23, 27, 31, 34, 36, 38, 40, 45, 47, 49, 52, 54, 59, 61, 64, 70, 73, 75, 79, 82, 88, 93, 98, 102, 105, 108, 110, 115, 119, 124, 126, 132, 136, 139, 141, 144, 148, 152, 155, 159, 161, 164, 166, 168, 173, 175, 180, 185, 187, 190, 195, 197, 202
Offset: 1

Views

Author

Clark Kimberling, Jun 16 2025

Keywords

Examples

			b(1) = a(a(1))+a(1)+3 = 1+1+3 = 5;
b(2) = a(a(2))+a(2)+3 = 2+2+3 = 7;
b(3) = a(a(3))+a(3)+3 = 3+3+3 = 9;
b(4) = a(a(4))+a(4)+3 = 4+4+3 = 11;
b(5) = a(a(5))+a(5)+3 = 6+8+3 = 17.

Links

Crossrefs

Cf. A136499, A136500, A384661, A384662, A384663.

Formula

{b(n)-b(n-1) : n>=2} = {2, 3, 4, 5, 6}.
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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