A362359 -id:A362359 - cp's OEIS frontend

A362360 a(n) = 81*n - 2.

79, 160, 241, 322, 403, 484, 565, 646, 727, 808, 889, 970, 1051, 1132, 1213, 1294, 1375, 1456, 1537, 1618, 1699, 1780, 1861, 1942, 2023, 2104, 2185, 2266, 2347, 2428, 2509, 2590, 2671, 2752, 2833, 2914, 2995, 3076, 3157

Offset: 1

Richard S. Fischer and Wolfdieter Lang, Jun 20 2023

This gives the solution to the Monkey and Coconut Problem (three sailors, one coconut to the monkey). For the five sailors, one monkey problem see A254029.

This is row s = 3 of the array A given in A362359, hence the third column of the corresponding triangle T with offset 3.

Paolo Xausa, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (2,-1).

Cf. A254029, A362359.

Range[50]81-2 (* Paolo Xausa, Nov 17 2023 *)

a(n) = 3^4*n - 2, for n >= 1.
O.g.f.: (x/(1-x)^2)*(3^4 - 2*(1-x)).
E.g.f.: 2 + exp(x)*(81*x - 2). - Stefano Spezia, Jun 24 2023

A362361 a(n) = n*2^10 - 3.

Original entry on oeis.org

1021, 2045, 3069, 4093, 5117, 6141, 7165, 8189, 9213, 10237, 11261, 12285, 13309, 14333, 15357, 16381, 17405, 18429, 19453, 20477, 21501, 22525, 23549, 24573, 25597, 26621, 27645, 28669, 29693, 30717, 31741, 32765

Offset: 1

Richard S. Fischer and Wolfdieter Lang, Jun 20 2023

This gives the solution to the Monkey and Coconut Problem (four sailors one coconut to the monkey). For the five sailors one monkey problem see A254029.

This is row s = 4 of the array given in A362359, hence the fourth column of the corresponding triangle T with offset 4.

Paolo Xausa, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (2,-1).

Cf. A254029, A362359, A362360.

Range[50]2^10-3 (* Paolo Xausa, Nov 17 2023 *)

def A362361(n): return (n<<10)-3 # Chai Wah Wu, Jun 25 2023

a(n) = n*4^5 - 3, for n >= 1.
O.g.f: (x/(1-x)^2)*(4^5 - 3*(1-x)).
E.g.f.: 3 + exp(x)*(1024*x - 3). - Stefano Spezia, Jun 24 2023

cp's OEIS Frontend

A362360 a(n) = 81*n - 2.

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