A092095 a(n) = Sum_{i=0,1,2,..; n-k*i >= -n} |n-k*i| for k=4.

9, 16, 16, 24, 25, 36, 36, 48, 49, 64, 64, 80, 81, 100, 100

Offset

4,1

References

F. Smarandache, Back and Forth Factorials, Arizona State Univ., Special Collections, 1972.

F. Smarandache, Back and Forth Summants, Arizona State Univ., Special Collections, 1972.

Links

Table of n, a(n) for n=4..18.

J. Dezert, ed., Smarandacheials (1), Mathematics Magazine for Grades 1-12, No. 4, 2004.

J. Dezert, ed., Smarandacheials (2), Mathematics Magazine for Grades 1-12, No. 4, 2004.

F. Smarandache, Summants [Broken link]

Maple

S := proc(n, k) local a, i ; a :=0 ; i := 0 ; while n-k*i >= -n do a := a+abs(n-k*i) ; i := i+1 ; od: RETURN(a) ; end: k := 4: seq(S(n, k), n=k+1..80) ; # R. J. Mathar, Feb 01 2008 (Adapted from program for A092096 by N. J. A. Sloane, Jul 03 2017)

Crossrefs

Cf. A001044, A092396, A092397, A092398, A092399, A092971, A092972, A092973, A092974.

Sequence in context: A169999 A110151 A131746 * A186851 A201266 A231977

Adjacent sequences: A092092 A092093 A092094 * A092096 A092097 A092098

Keyword

nonn,more

Author

Jahan Tuten (jahant(AT)indiainfo.com), Mar 29 2004

Extensions

Edited with better definition by Omar E. Pol, Dec 28 2008

Entry revised by N. J. A. Sloane, Jul 03 2017

Status

approved