A262715 a(n) = 29^(2*n+1).

29, 24389, 20511149, 17249876309, 14507145975869, 12200509765705829, 10260628712958602189, 8629188747598184440949, 7257147736730073114838109, 6103261246589991489578849669, 5132842708382182842735812571629, 4316720717749415770740818372739989

Offset

0,1

Comments

29*a(n) is a square.

Links

G. C. Greubel, Table of n, a(n) for n = 0..250

Index entries for linear recurrences with constant coefficients, signature (841).

Formula

G.f.: 29/(1 - 841*x).

a(n) = 841*a(n-1).

Sum_{i>=0} (-1)^i/a(i) = 29*A021846; Sum_{i>=0} 1/a(i) = 2.9*A021088. [Bruno Berselli, Oct 06 2015]

Mathematica

29^Range[1, 30, 2]

Prog

(Magma) [29^(2*n+1): n in [0..15]];
(PARI) vector(20, n, n--; 29^(2*n+1)) \\ Altug Alkan, Oct 02 2015

Crossrefs

Second bisection of A009973 (powers of 29).

Cf. similar sequences of the form p^(2*n+1), with p prime: A004171 (p=2), A013708 (p=3), A013710 (p=5), A013712 (p=7), A013716 (p=11), A013718 (p=13), A013722 (p=17), A013724 (p=19), A013728 (p=23), this sequence (p=29), A262716 (p=31), A262786 (p=37), A262787 (p=41), A155477 (p=43).

Sequence in context: A199369 A127425 A135253 * A274545 A296176 A159437

Adjacent sequences: A262712 A262713 A262714 * A262716 A262717 A262718

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 02 2015

Status

approved