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.

A090854 a(n) is the least positive integer such that the integer part of the arithmetic-geometric mean of a(n) and 1 is equal to Fibonacci(n).

Original entry on oeis.org

1, 1, 4, 7, 13, 24, 43, 77, 137, 241, 421, 732, 1266, 2178, 3733, 6376, 10858, 18439, 31237, 52804, 89082, 150014, 252206, 423367, 709697, 1188136, 1986730, 3318386, 5536857, 9229483, 15370775, 25576584, 42524547, 70649205, 117290710
Offset: 0

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Author

Paul D. Hanna, Dec 10 2003

Keywords

Crossrefs

Cf. A090852, A090853, A090855.

Formula

floor( agm(a(n), 1) ) = Fibonacci(n), for n>=0.

A090853 a(n) is the least positive integer such that the arithmetic-geometric mean satisfies: floor( agm(a(n),a(n-2)) ) = a(n-1) for n>2, with a(1)=1, a(2)=2.

Original entry on oeis.org

1, 2, 4, 7, 12, 19, 28, 40, 55, 73, 94, 118, 145, 176, 211, 250, 293, 340, 391, 446, 505, 568, 635, 706, 781, 860, 943, 1030, 1121, 1216, 1315, 1418, 1525, 1637, 1754, 1876, 2003, 2135, 2272, 2414, 2561, 2713, 2870, 3032, 3199, 3371, 3548, 3730, 3917, 4109
Offset: 1

Views

Author

Paul D. Hanna, Dec 10 2003

Keywords

Crossrefs

Cf. A090852, A090854, A090855.

A090857 a(n) is the least positive integer such that the integer part of the arithmetic-geometric mean of a(n) and 2^n is equal to 3^n.

Original entry on oeis.org

1, 5, 17, 59, 203, 690, 2308, 7621, 24913, 80794, 260303, 834057, 2660049, 8449715, 26747224, 84407894, 265647824, 834016199, 2612728134, 8168761695, 25494031748, 79434416090, 247130166428, 767788267178, 2382328079245
Offset: 0

Views

Author

Paul D. Hanna, Dec 10 2003

Keywords

Examples

			a(6)=2308 since floor(agm(2308,2^6))=729=3^6, but floor(agm(2307,2^6))=728.

Crossrefs

Cf. A090852, A090855, A090856.

Formula

floor( agm(a(n), 2^n) ) = 3^n, for n>=0.
Showing 1-3 of 3 results.

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

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