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!)
A177927 3-Monica numbers. 1
4, 9, 10, 22, 24, 25, 27, 34, 42, 46, 55, 58, 60, 72, 78, 81, 82, 85, 94, 105, 106, 114, 115, 118, 121, 126, 128, 132, 142, 145, 150, 166, 178, 180, 186, 187, 192, 195, 202, 204, 205, 214, 216, 222, 224, 226, 231, 234, 235, 243, 253, 256, 258, 262, 265, 274, 276, 285, 289, 295 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

3-Monica numbers are composite positive integers n for which 3 divides S(n)-Sp(n), where S(n) denotes the sum of the digits of n and Sp(n) denotes the sum of the digits in an extended prime factorization of n.

REFERENCES

James J. Tattersall, Elementary Number Theory in Nine Chapters, Cambridge University Press, 2005, page 93.

E. W. Weisstein, The CRC Concise Encyclopedia of Mathematics, CRC Press, 1999, pages 1192-1193.

LINKS

Table of n, a(n) for n=1..60.

Eric Weisstein's World of Mathematics, Monica Set

EXAMPLE

S(10)=1+0=1, 10=2*5, Sp(10)=2+5=7, S(10)-Sp(10)=-6 which is divisible by 3.

CROSSREFS

Cf. A006753. Smith numbers are a subset of every n-Monica sequence.

Cf. A102217. n-Suzanne numbers are a subset of n-Monica numbers.

Cf. A102219. This list of '3-Monica' numbers is incorrect. It does not contain all the Smith numbers and appears to be based on S(n)+Sp(n)=0(mod 3), instead of S(n)-Sp(n)=0(mod 3).

Sequence in context: A109412 A061766 A109448 * A062398 A030754 A244863

Adjacent sequences:  A177924 A177925 A177926 * A177928 A177929 A177930

KEYWORD

nonn,base

AUTHOR

Chris Fry, Dec 26 2010

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 August 5 19:30 EDT 2020. Contains 336213 sequences. (Running on oeis4.)