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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A210337 Sum of distinct residues of all factorials mod 2^n. 1
0, 1, 3, 9, 17, 49, 153, 281, 665, 1433, 3225, 7705, 17945, 47641, 64025, 129561, 293401, 752153, 1341977, 2914841, 6421017, 14547481, 33421849, 71170585, 138279449, 247331353, 645790233, 1182661145, 2558392857, 5779618329, 11685198361, 23496358425 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

MAPLE

a:= proc(n) local p, m, i, s;

      p:= 2^n;

      m:= 1;

      s:= {};

      for i to p while m<>0 do m:= m*i mod p; s:=s union {m} od;

      add(i, i=s)

    end:

seq (a(n), n=0..40);  # Alois P. Heinz, Mar 20 2012

MATHEMATICA

a[n_] := Module[{k=0, s={}},  While[(r = Mod[k!, 2^n]) > 0, k++; AppendTo[s, r]]; Total@Union@s]; Array[a, 32, 0] (* Amiram Eldar, Dec 15 2018 *)

PROG

(PARI) nbf(n) = my(k=1); while(k! % 2^n, k++); k; \\ A007843

a(n) = my(nb=nbf(n)); vecsum(Set(vector(nb, k, k! % 2^n))); \\ Michel Marcus, Dec 15 2018

CROSSREFS

Cf. A007843, A210184, A210185.

Sequence in context: A176148 A206701 A176354 * A173140 A018307 A108050

Adjacent sequences:  A210334 A210335 A210336 * A210338 A210339 A210340

KEYWORD

nonn

AUTHOR

Vladimir Shevelev, Mar 20 2012

EXTENSIONS

More terms from Alois P. Heinz, Mar 20 2012

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 7 19:47 EST 2021. Contains 349585 sequences. (Running on oeis4.)