A064263 -id:A064263 - cp's OEIS frontend

A153288 A triangular sequence designed with row sums 2*3^n with first column A064263.

2, 3, 3, 2, 14, 2, 2, 25, 25, 2, 2, 36, 86, 36, 2, 2, 47, 194, 194, 47, 2, 2, 58, 302, 734, 302, 58, 2, 2, 69, 410, 1706, 1706, 410, 69, 2, 2, 80, 518, 3390, 5142, 3390, 518, 80, 2

Offset: 0

Roger L. Bagula, Dec 23 2008

Row sums are:
{2, 6, 18, 54, 162, 486., 1458, 4374., 13122,...}.
Sequence was calculated to the 3^n level by hand.

			{2},
{3, 3},
{2, 14, 2},
{2, 25, 25, 2},
{2, 36, 86, 36, 2},
{2, 47, 194, 194, 47, 2},
{2, 58, 302, 734, 302, 58, 2},
{2, 69, 410, 1706, 1706, 410, 69, 2},
{2, 80, 518, 3390, 5142, 3390, 518, 80, 2}

A064263

(* first column : A064263*)
b = {{2}, {3, 3}, {2, 14, 2}, {2, 25, 25, 2}, {2, 36, 86, 36, 2},
{2, 47, 194, 194, 47, 2}, {2, 58, 302, 734, 302, 58, 2},
{2, 69, 410, 1706, 1706, 410, 69, 2}, {2, 80, 518, 3390, 5142, 3390, 518, 80, 2}}
Flatten[b]

A074805 n mod 19 + 1 ("Golden Number").

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1, 2, 3, 4, 5, 6, 7, 8

Offset: 0

Jeremy Gardiner, Sep 08 2002

			a(0) = 0 mod 19 + 1 = 1

Eric Weisstein's World of Astronomy, Golden Number
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Cf. A064265, A064266, A064263, A064264, A064267.

LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1},{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19},84] (* Ray Chandler, Aug 27 2015 *)

a(n) = n mod 19 + 1

cp's OEIS Frontend

A153288 A triangular sequence designed with row sums 2*3^n with first column A064263.

Views

Author

Keywords

Comments

Examples

Crossrefs

Programs

Mathematica