cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A276945 Square array A(row,col): A(row,1) = A276155(row), and for col > 1, A(row,col) = A276154(A(row,col-1)); Dispersion of primorial base left shift A276154.

This page as a plain text file.
%I A276945 #24 Jul 01 2017 23:02:34
%S A276945 1,2,3,6,8,4,30,36,12,5,210,240,60,14,7,2310,2520,420,66,32,9,30030,
%T A276945 32340,4620,450,216,38,10,510510,540540,60060,4830,2340,246,42,11,
%U A276945 9699690,10210200,1021020,62370,30240,2550,270,44,13,223092870,232792560,19399380,1051050,512820,32550,2730,276,62,15
%N A276945 Square array A(row,col): A(row,1) = A276155(row), and for col > 1, A(row,col) = A276154(A(row,col-1)); Dispersion of primorial base left shift A276154.
%C A276945 The array A(row,col) is read by descending antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.
%C A276945 Entries in column k are all multiples of A002110(k-1). Dividing that factor out gives array A286625. - _Antti Karttunen_, Jun 30 2017
%H A276945 Antti Karttunen, <a href="/A276945/b276945.txt">Table of n, a(n) for n = 1..630; the first 35 antidiagonals of array</a>
%H A276945 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%H A276945 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%F A276945 A(row,1) = A276155(row); for row > 1, A(row,col) = A276154(A(row,col-1)).
%e A276945 The top left corner of the array:
%e A276945    1,  2,   6,   30,   210,    2310,    30030,    510510
%e A276945    3,  8,  36,  240,  2520,   32340,   540540,  10210200
%e A276945    4, 12,  60,  420,  4620,   60060,  1021020,  19399380
%e A276945    5, 14,  66,  450,  4830,   62370,  1051050,  19909890
%e A276945    7, 32, 216, 2340, 30240,  512820,  9729720, 223603380
%e A276945    9, 38, 246, 2550, 32550,  542850, 10240230, 233303070
%e A276945   10, 42, 270, 2730, 34650,  570570, 10720710, 242492250
%e A276945   11, 44, 276, 2760, 34860,  572880, 10750740, 243002760
%e A276945   13, 62, 426, 4650, 60270, 1023330, 19429410, 446696250
%e A276945   15, 68, 456, 4860, 62580, 1053360, 19939920, 456395940
%e A276945   16, 72, 480, 5040, 64680, 1081080, 20420400, 465585120
%e A276945   17, 74, 486, 5070, 64890, 1083390, 20450430, 466095630
%e A276945   18, 90, 630, 6930, 90090, 1531530, 29099070, 669278610
%o A276945 (Scheme)
%o A276945 (define (A276945 n) (A276945bi (A002260 n) (A004736 n)))
%o A276945 (define (A276945bi row col) (if (= 1 col) (A276155 row) (A276154 (A276945bi row (- col 1)))))
%Y A276945 Inverse permutation: A276946.
%Y A276945 Transpose: A276943. One more than A286615.
%Y A276945 Column 1: A276155.
%Y A276945 Row 1: A002110.
%Y A276945 Row 2: A276939.
%Y A276945 Row 3: A088860 (2*A002110).
%Y A276945 Row 11: 2*A276939 (row 2) from 16, 72, 480, 5040, 64680, ... onward.
%Y A276945 Row 13: 3*A002110, from 18, 90, 630, 6930, 90090, ... onward.
%Y A276945 Cf. A276154.
%Y A276945 Cf. also arrays A286625, A276955.
%K A276945 nonn,base,tabl
%O A276945 1,2
%A A276945 _Antti Karttunen_, Sep 24 2016