A270359 Positive integer averages of first n Pell numbers; Sum{k=0..n-1} A000129(k) / n where n is in A270342.

1, 2, 4, 17, 36, 369, 1820, 20808, 47280, 246561, 6919153, 16008300, 1086517900, 5924129729, 13855173264, 982740019940, 30127233316440, 167427203210673, 5203545562472737, 12300752138736600, 913640750713307860, 162500024938034177361

Offset

1,2

Links

Table of n, a(n) for n=1..22.

Example

17 is a term because (0 + 1 + 2 + 5 + 12 + 29 + 70) / 7 = 119 / 7 = 17.

Prog

(PARI) a048739(n) = local(w=quadgen(8)); -1/2+(3/4+1/2*w)*(1+w)^n+(3/4-1/2*w)*(1-w)^n;
for(n=1, 1e2, if(a048739(n-1) % (n+1) == 0, print1(a048739(n-1) / (n+1) , ", ")));

Crossrefs

Cf. A000129, A048739, A270342.

Sequence in context: A095018 A081356 A018269 * A276557 A266868 A203177

Adjacent sequences: A270356 A270357 A270358 * A270360 A270361 A270362

Keyword

nonn

Author

Altug Alkan, Mar 15 2016

Status

approved