login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A272914 Sixth powers ending in digit 6. 8
4096, 46656, 7529536, 16777216, 191102976, 308915776, 1544804416, 2176782336, 7256313856, 9474296896, 24794911296, 30840979456, 68719476736, 82653950016, 164206490176, 192699928576, 351298031616, 404567235136, 689869781056, 782757789696, 1265319018496, 1418519112256, 2194972623936 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Other sequences of k-th powers ending in digit k are: A017281 (k=1), A017355 (k=3), A017333 (k=5), A017311 (k=7), A017385 (k=9). It is missing k=4 because the fourth powers end with 0, 1, 5 or 6.

Union of A017322 and A017346.

a(h)^(1/6) is a member of A068408 for h = 2, 4, 8, 12, 16, 20, 36, 76, ...

LINKS

Bruno Berselli, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (1,6,-6,-15,15,20,-20,-15,15,6,-6,-1,1).

FORMULA

O.g.f.: 64*x*(64 + 665*x + 116536*x^2 + 140505*x^3 + 2023280*x^4 + 983830*x^5 + 4720240*x^6 + 983830*x^7 + 2023280*x^8 + 140505*x^9 + 116536*x^10 + 665*x^11 + 64*x^12)/((1 + x)^6*(1 - x)^7).

E.g.f.: (-8192 + 45*(91 + 182*x - 5250*x^2 + 16000*x^3 - 9375*x^4 + 1250*x^5)*exp(-x) + (4097 + 287000*x^2 + 1262500*x^3 + 1253125*x^4 + 375000*x^5 + 31250*x^6)*exp(x))/2.

a(n) = (10*n - 3*(-1)^n - 5)^6/64 = 64*A047221(n)^6.

MATHEMATICA

Table[(10 n - 3 (-1)^n - 5)^6/64, {n, 1, 30}]

PROG

(MAGMA) /* By definition: */ k:=6; [n^k: n in [0..200] | Modexp(n, k, 10) eq k];

(MAGMA) [(10*n-3*(-1)^n-5)^6/64: n in [1..30]];

(PARI) vector(30, n, nn; (10*n-3*(-1)^n-5)^6/64)

(Sage) [(10*n-3*(-1)^n-5)^6/64 for n in (1..30)]

(Maxima) makelist((10*n-3*(-1)^n-5)^6/64, n, 1, 30);

CROSSREFS

Cf. A001014, A016746, A017322, A017346

Similar sequences (see comment): A017281, A017311, A017333, A017355, A017385.

Sequence in context: A223334 A231945 A220766 * A016996 A218527 A017068

Adjacent sequences:  A272911 A272912 A272913 * A272915 A272916 A272917

KEYWORD

nonn,base,easy

AUTHOR

Bruno Berselli, May 24 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 December 10 20:55 EST 2018. Contains 318049 sequences. (Running on oeis4.)