S000830


All linear tenth-order sequences are a linear combination of these ten sequences.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 12, 14, 15, 16, 16, 16, 16, 16, 16, 16, 24, 28, 30, 31, 32, 32, 32, 32, 32, 32, 48, 56, 60, 62, 63, 64, 64, 64, 64, 64, 96, 112, 120, 124

1

S000830

Note that the 10-th row is the first row shifted by one.

T. D. Noe, Plot of 30 10-tuples

T. D. Noe, Table of 30 10-tuples

Eric W. Weisstein, MathWorld: Linear Recurrence Equation

(Mma) nn = 10; t = IdentityMatrix[nn]; Do[AppendTo[t, Sum[t[[k - i]], {i, nn}]], {k, nn + 1, nn + 60/nn}]; t = Drop[Flatten[t], nn^2]; t

Cf. A122265, A251759-A251766S000822-S000831.

nonn,tabl

T. D. Noe, Jan 15 2016

© Tony D Noe 2014-2016