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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A358599 Number of genetic relatives of a person M in a genealogical tree extending back n generations and where everyone has 5 children down to the generation of M. 4
 1, 7, 59, 563, 5571, 55587, 555619, 5555683, 55555811, 555556067, 5555556579, 55555557603, 555555559651, 5555555563747, 55555555571939, 555555555588323, 5555555555621091, 55555555555686627, 555555555555817699, 5555555555556079843, 55555555555556604131 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS M has 2 parents, 4 grandparents, and so on up to 2^n top ancestors at the top of the tree. The genetic relatives of M are all descendants of those ancestors. M is a genetic relative of himself or herself. LINKS Index entries for linear recurrences with constant coefficients, signature (13,-32,20). FORMULA a(n) = 2^n + 5*(10^n - 1)/9. a(n) = A000079(n) + A002279(n). G.f.: (6*x-1)/((x-1)*(2*x-1)*(10*x-1)). - Alois P. Heinz, Dec 05 2022 MATHEMATICA LinearRecurrence[{13, -32, 20}, {1, 7, 59}, 21] (* Hugo Pfoertner, Dec 05 2022 *) PROG (Python) print([2**n+5*(10**n-1)//9 for n in range(10)]) CROSSREFS Other numbers of children: A076024 (2), A358504 (3), A358598 (4), A358600 (6), A358601 (7). Cf. A000079, A002279. Sequence in context: A101487 A210397 A099659 * A135150 A077409 A192458 Adjacent sequences: A358591 A358592 A358598 * A358600 A358601 A358602 KEYWORD nonn,easy AUTHOR Hans Braxmeier, Nov 23 2022 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.

Last modified February 8 02:43 EST 2023. Contains 360133 sequences. (Running on oeis4.)