login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A267217 10-gonal (or decagonal) numbers with prime indices. 0
10, 27, 85, 175, 451, 637, 1105, 1387, 2047, 3277, 3751, 5365, 6601, 7267, 8695, 11077, 13747, 14701, 17755, 19951, 21097, 24727, 27307, 31417, 37345, 40501, 42127, 45475, 47197, 50737, 64135, 68251, 74665, 76867, 88357, 90751, 98125, 105787, 111055, 119197, 127627, 130501, 145351, 148417, 154645 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..45.

Eric Weisstein's World of Mathematics, Decagonal Number

Eric Weisstein's World of Mathematics, Prime Number

FORMULA

a(n) = prime(n)*(4*prime(n) - 3) = A000040(n)*(4*A000040(n) - 4).

a(n) = A001107(A000040(n)).

a(n) = sigma_0(48^(prime(n) - 1)) = A000005(A009992(A000040(n) - 1)).

MATHEMATICA

Table[Prime[n] (4 Prime[n] - 3), {n, 1, 45}]

PROG

(PARI) lista(nn) = forprime(p=2, nn, print1(p*(4*p-3), ", ")); \\ Altug Alkan, Jan 12 2016

CROSSREFS

Cf. A000040, A001107, A001248, A034953, A116995, A117961, A267144.

Sequence in context: A103135 A220021 A008468 * A179546 A119548 A219629

Adjacent sequences:  A267214 A267215 A267216 * A267218 A267219 A267220

KEYWORD

nonn,easy

AUTHOR

Ilya Gutkovskiy, Jan 12 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 5 12:34 EDT 2020. Contains 333241 sequences. (Running on oeis4.)