login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A277455 Arithmetic derivatives of the Motzkin numbers. 0
0, 0, 1, 4, 6, 10, 20, 1, 36, 172, 2192, 3371, 1, 22327, 135561, 517656, 284492, 933118, 5446991, 24265724, 18238138, 93800069, 334654476, 1368408363, 2584589232, 1823879615, 25669818480, 41583822879, 1967330543, 29409700520, 1265785403, 3239855363874 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..31.

FORMULA

a(n) = A003415(A001006(n)).

a(n) = 1 for n in A092831.

MATHEMATICA

Table[If[Abs@ # < 2, 0, # Total[#2/#1 & @@@ FactorInteger[Abs@ #]]] &@ Hypergeometric2F1[(1 - n)/2, -n/2, 2, 4], {n, 0, 31}] (* Michael De Vlieger, Oct 17 2016, after Michael Somos at A003415 and Peter Luschny at A001006 *)

CROSSREFS

Cf. A003415, A001006, A068329, A092831.

Sequence in context: A076995 A096817 A220033 * A320124 A185913 A243119

Adjacent sequences: A277452 A277453 A277454 * A277456 A277457 A277458

KEYWORD

nonn

AUTHOR

Paul Bedard, Oct 16 2016

EXTENSIONS

More terms from Alois P. Heinz, Oct 16 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 29 13:51 EST 2023. Contains 359923 sequences. (Running on oeis4.)