A249726 Numbers n such that there is a multiple of 36 on row n of Pascal's triangle with property that it is also the least multiple of 4 and the least multiple of 9 on the same row.

36, 72, 73, 108, 110, 144, 145, 147, 180, 216, 217, 218, 221, 252, 288, 289, 291, 295, 324, 326, 360, 361, 396, 432, 433, 434, 435, 437, 443, 468, 504, 505, 540, 542, 576, 577, 579, 583, 612, 648, 649, 650, 653, 684, 720, 721, 723, 756, 758, 792, 793, 828, 864, 865, 866, 867, 869, 871, 875, 887, 900, 936, 937, 972, 974, 1008, 1009, 1011, 1044, 1080

Offset

1,1

Comments

All n such that both on row n of A034931 (Pascal's triangle reduced modulo 4) and on row n of A095143 (Pascal's triangle reduced modulo 9) there is at least one zero and the distance from the edge to the nearest zero is same on both rows.

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

Prog

(PARI)
A249726list(upto_n) = { my(i=0, n=0); while(i<upto_n, for(k=0, n\2, if(!(binomial(n, k)%36), i++; write("b249726.txt", i, " ", n); break, if((!(binomial(n, k)%4) || !(binomial(n, k)%9)), break))); n++); }

Crossrefs

Subsequence of A249724.

A044102 is a subsequence (after zero).

Natural numbers (A000027) is a disjoint union of the sequences A048278, A249722, A249723 and A249726.

Cf. A007318, A034931, A095143, A048645, A051382.

Sequence in context: A208128 A260919 A247381 * A335463 A192026 A036785

Adjacent sequences: A249723 A249724 A249725 * A249727 A249728 A249729

Keyword

nonn

Author

Antti Karttunen, Nov 04 2014

Status

approved